@article{9781,
  abstract     = {We consider the Pekar functional on a ball in ℝ3. We prove uniqueness of minimizers, and a quadratic lower bound in terms of the distance to the minimizer. The latter follows from nondegeneracy of the Hessian at the minimum.},
  author       = {Feliciangeli, Dario and Seiringer, Robert},
  issn         = {1095-7154},
  journal      = {SIAM Journal on Mathematical Analysis},
  keywords     = {Applied Mathematics, Computational Mathematics, Analysis},
  number       = {1},
  pages        = {605--622},
  publisher    = {Society for Industrial & Applied Mathematics },
  title        = {{Uniqueness and nondegeneracy of minimizers of the Pekar functional on a ball}},
  doi          = {10.1137/19m126284x},
  volume       = {52},
  year         = {2020},
}

@misc{9798,
  abstract     = {Fitness interactions between mutations can influence a population’s evolution in many different ways. While epistatic effects are difficult to measure precisely, important information is captured by the mean and variance of log fitnesses for individuals carrying different numbers of mutations. We derive predictions for these quantities from a class of simple fitness landscapes, based on models of optimizing selection on quantitative traits. We also explore extensions to the models, including modular pleiotropy, variable effect sizes, mutational bias and maladaptation of the wild type. We illustrate our approach by reanalysing a large dataset of mutant effects in a yeast snoRNA. Though characterized by some large epistatic effects, these data give a good overall fit to the non-epistatic null model, suggesting that epistasis might have limited influence on the evolutionary dynamics in this system. We also show how the amount of epistasis depends on both the underlying fitness landscape and the distribution of mutations, and so is expected to vary in consistent ways between new mutations, standing variation and fixed mutations.},
  author       = {Fraisse, Christelle and Welch, John J.},
  publisher    = {Royal Society of London},
  title        = {{Simulation code for Fig S2 from the distribution of epistasis on simple fitness landscapes}},
  doi          = {10.6084/m9.figshare.7957472.v1},
  year         = {2020},
}

@misc{9799,
  abstract     = {Fitness interactions between mutations can influence a population’s evolution in many different ways. While epistatic effects are difficult to measure precisely, important information is captured by the mean and variance of log fitnesses for individuals carrying different numbers of mutations. We derive predictions for these quantities from a class of simple fitness landscapes, based on models of optimizing selection on quantitative traits. We also explore extensions to the models, including modular pleiotropy, variable effect sizes, mutational bias and maladaptation of the wild type. We illustrate our approach by reanalysing a large dataset of mutant effects in a yeast snoRNA. Though characterized by some large epistatic effects, these data give a good overall fit to the non-epistatic null model, suggesting that epistasis might have limited influence on the evolutionary dynamics in this system. We also show how the amount of epistasis depends on both the underlying fitness landscape and the distribution of mutations, and so is expected to vary in consistent ways between new mutations, standing variation and fixed mutations.},
  author       = {Fraisse, Christelle and Welch, John J.},
  publisher    = {Royal Society of London},
  title        = {{Simulation code for Fig S1 from the distribution of epistasis on simple fitness landscapes}},
  doi          = {10.6084/m9.figshare.7957469.v1},
  year         = {2020},
}

@misc{9814,
  abstract     = {Data and mathematica notebooks for plotting figures from Language learning with communication between learners},
  author       = {Ibsen-Jensen, Rasmus and Tkadlec, Josef and Chatterjee, Krishnendu and Nowak, Martin},
  publisher    = {Royal Society},
  title        = {{Data and mathematica notebooks for plotting figures from language learning with communication between learners from language acquisition with communication between learners}},
  doi          = {10.6084/m9.figshare.5973013.v1},
  year         = {2020},
}

@misc{9878,
  author       = {Gupta, Chitrak and Khaniya, Umesh and Chan, Chun Kit and Dehez, Francois and Shekhar, Mrinal and Gunner, M.R. and Sazanov, Leonid A and Chipot, Christophe and Singharoy, Abhishek},
  publisher    = {American Chemical Society},
  title        = {{Movies}},
  doi          = {10.1021/jacs.9b13450.s002},
  year         = {2020},
}

@misc{9885,
  abstract     = {Data obtained from the fine-grained simulations used in Figures 2-5, data obtained from the coarse-grained numerical calculations used in Figure 6, and a sample script for the fine-grained simulation as a Jupyter notebook (ZIP)},
  author       = {Ucar, Mehmet C and Lipowsky, Reinhard},
  publisher    = {American Chemical Society },
  title        = {{MURL_Dataz}},
  doi          = {10.1021/acs.nanolett.9b04445.s002},
  year         = {2020},
}

@article{27,
  abstract     = {The cerebral cortex is composed of a large variety of distinct cell-types including projection neurons, interneurons and glial cells which emerge from distinct neural stem cell (NSC) lineages. The vast majority of cortical projection neurons and certain classes of glial cells are generated by radial glial progenitor cells (RGPs) in a highly orchestrated manner. Recent studies employing single cell analysis and clonal lineage tracing suggest that NSC and RGP lineage progression are regulated in a profound deterministic manner. In this review we focus on recent advances based mainly on correlative phenotypic data emerging from functional genetic studies in mice. We establish hypotheses to test in future research and outline a conceptual framework how epigenetic cues modulate the generation of cell-type diversity during cortical development. This article is protected by copyright. All rights reserved.},
  author       = {Amberg, Nicole and Laukoter, Susanne and Hippenmeyer, Simon},
  journal      = {Journal of Neurochemistry},
  number       = {1},
  pages        = {12--26},
  publisher    = {Wiley},
  title        = {{Epigenetic cues modulating the generation of cell type diversity in the cerebral cortex}},
  doi          = {10.1111/jnc.14601},
  volume       = {149},
  year         = {2019},
}

@article{301,
  abstract     = {A representation formula for solutions of stochastic partial differential equations with Dirichlet boundary conditions is proved. The scope of our setting is wide enough to cover the general situation when the backward characteristics that appear in the usual formulation are not even defined in the Itô sense.},
  author       = {Gerencser, Mate and Gyöngy, István},
  journal      = {Stochastic Processes and their Applications},
  number       = {3},
  pages        = {995--1012},
  publisher    = {Elsevier},
  title        = {{A Feynman–Kac formula for stochastic Dirichlet problems}},
  doi          = {10.1016/j.spa.2018.04.003},
  volume       = {129},
  year         = {2019},
}

@article{319,
  abstract     = {We study spaces of modelled distributions with singular behaviour near the boundary of a domain that, in the context of the theory of regularity structures, allow one to give robust solution theories for singular stochastic PDEs with boundary conditions. The calculus of modelled distributions established in Hairer (Invent Math 198(2):269–504, 2014. https://doi.org/10.1007/s00222-014-0505-4) is extended to this setting. We formulate and solve fixed point problems in these spaces with a class of kernels that is sufficiently large to cover in particular the Dirichlet and Neumann heat kernels. These results are then used to provide solution theories for the KPZ equation with Dirichlet and Neumann boundary conditions and for the 2D generalised parabolic Anderson model with Dirichlet boundary conditions. In the case of the KPZ equation with Neumann boundary conditions, we show that, depending on the class of mollifiers one considers, a “boundary renormalisation” takes place. In other words, there are situations in which a certain boundary condition is applied to an approximation to the KPZ equation, but the limiting process is the Hopf–Cole solution to the KPZ equation with a different boundary condition.},
  author       = {Gerencser, Mate and Hairer, Martin},
  issn         = {14322064},
  journal      = {Probability Theory and Related Fields},
  number       = {3-4},
  pages        = {697–758},
  publisher    = {Springer},
  title        = {{Singular SPDEs in domains with boundaries}},
  doi          = {10.1007/s00440-018-0841-1},
  volume       = {173},
  year         = {2019},
}

@article{10664,
  abstract     = {Since the discovery of correlated insulators and superconductivity in magic-angle twisted bilayer graphene (tBLG) ([1, 2], JCCM April 2018), theorists have been excitedly pursuing the alluring mix of band topology, symmetry breaking, Mott insulators and superconductivity at play, as well as the potential relation (if any) to high-Tc physics. Now a new stream
of experimental work is arriving which further enriches the story. To briefly recap Episodes 1 and 2 (JCCM April and November 2018), when two graphene layers are stacked with a small rotational mismatch θ, the resulting long-wavelength moire pattern leads to a superlattice potential which reconstructs the low energy band structure. When θ approaches the “magic-angle” θM ∼ 1 ◦, the band structure features eight nearly-flat bands which fill when the electron number per moire unit cell, n/n0, lies between −4 < n/n0 < 4. The bands can be counted as 8 = 2 × 2 × 2: for each spin (2×) and valley (2×) characteristic of monolayergraphene, tBLG has has 2× flat bands which cross at mini-Dirac points.},
  author       = {Yankowitz, Mathew and Chen, Shaowen and Polshyn, Hryhoriy and Watanabe, K. and Taniguchi, T. and Graf, David and Young, Andrea F. and Dean, Cory R. and Sharpe, Aaron L. and Fox, E.J. and Barnard, A.W. and Finney, Joe},
  journal      = {Journal Club for Condensed Matter Physics},
  publisher    = {Simons Foundation ; University of California, Riverside},
  title        = {{New correlated phenomena in magic-angle twisted bilayer graphene/s}},
  doi          = {10.36471/jccm_february_2019_03},
  volume       = {03},
  year         = {2019},
}

@inproceedings{10722,
  abstract     = {Bilayer graphene, rotationally faulted to ~1.1 degree misalignment, has recently been shown to host superconducting and resistive states associated with the formation of a flat electronic band. While numerous theories exist for the origins of both states, direct validation of these theories remains an outstanding experimental problem. Here, we focus on the resistive states occurring at commensurate filling (1/2, 1/4, and 3/4) of the two lowest superlattice bands. We test theoretical proposals that these states arise due to broken spin—and/or valley—symmetry by performing direct magnetic imaging with nanoscale SQUID-on-tip microscopy. This technique provides single-spin resolved magnetometry on sub-100nm length scales. I will present imaging data from our 4.2K nSOT microscope on graphite-gated twisted bilayers near the flat band condition and discuss the implications for the physics of the commensurate resistive states.},
  author       = {Serlin, Marec and Tschirhart, Charles and Polshyn, Hryhoriy and Zhu, Jiacheng and Huber, Martin E. and Young, Andrea},
  booktitle    = {APS March Meeting 2019},
  issn         = {0003-0503},
  location     = {Boston, MA, United States},
  number       = {2},
  publisher    = {American Physical Society},
  title        = {{Direct Imaging of magnetic structure in twisted bilayer graphene with scanning nanoSQUID-On-Tip microscopy}},
  volume       = {64},
  year         = {2019},
}

@inproceedings{10723,
  abstract     = {In monolayer graphene, the interplay of electronic correlations with the internal spin- and valley- degrees of freedom leads to a complex phase diagram of isospin symmetry breaking at high magnetic fields. Recently, Wei et al. (Science (2018)) demonstrated that spin waves can be electrically generated and detected in graphene heterojunctions, allowing direct experiment access to the spin degree of freedom. Here, we apply this technique to high quality graphite-gated graphene devices showing robust fractional quantum Hall phases and isospin phase transitions. We use an edgeless Corbino geometry to eliminate the contributions of edge states to the spin-wave mediated nonlocal voltage, allowing unambiguous identification of spin wave transport signatures. Our data reveal two phases within the ν = 1 plateau. For exactly ν=1, charge is localized but spin waves propagate freely while small carrier doping completely quenches the low-energy spin-wave transport, even as those charges remain localized. We identify this new phase as a spin textured electron solid. We also find that spin-wave transport is modulated by phase transitions in the valley order that preserve spin polarization, suggesting that this technique is sensitive to both spin and valley order.},
  author       = {Zhou, Haoxin and Polshyn, Hryhoriy and Tanaguchi, Takashi and Watanabe, Kenji and Young, Andrea},
  booktitle    = {APS March Meeting 2019},
  issn         = {0003-0503},
  location     = {Boston, MA, United States},
  number       = {2},
  publisher    = {American Physical Society},
  title        = {{Spin wave transport through electron solids and fractional quantum Hall liquids in graphene}},
  volume       = {64},
  year         = {2019},
}

@inproceedings{10724,
  abstract     = {Twisted bilayer graphene (tBLG) near the flat band condition is a versatile new platform for the study of correlated physics in 2D. Resistive states have been observed at several commensurate fillings of the flat miniband, along with superconducting states near half filling. To better understand the electronic structure of this system, we study electronic transport of graphite gated superconducting tBLG devices in the normal regime. At high magnetic fields, we observe full lifting of the spin and valley degeneracy. The transitions in the splitting of this four-fold degeneracy as a function of carrier density indicate Landau level (LL) crossings, which tilted field measurements show occur between LLs with different valley polarization. Similar LL structure measured in two devices, one with twist angle θ=1.08° at ambient pressure and one at θ=1.27° and 1.33GPa, suggests that the dimensionless combination of twist angle and interlayer coupling controls the relevant details of the band structure. In addition, we find that the temperature dependence of the resistance at B=0 shows linear growth at several hundred Ohm/K in a broad range of temperatures. We discuss the implications for modeling the scattering processes in this system.},
  author       = {Polshyn, Hryhoriy and Zhang, Yuxuan and Yankowitz, Matthew and Chen, Shaowen and Taniguchi, Takashi and Watanabe, Kenji and Graf, David E. and Dean, Cory R. and Young, Andrea},
  booktitle    = {APS March Meeting 2019},
  issn         = {0003-0503},
  location     = {Boston, MA, United States},
  number       = {2},
  publisher    = {American Physical Society},
  title        = {{Normal state transport in superconducting twisted bilayer graphene}},
  volume       = {64},
  year         = {2019},
}

@inproceedings{10725,
  abstract     = {Bilayer graphene with ~ 1.1 degrees twist mismatch between the layers hosts a low energy flat band in which the Coulomb interaction is large relative to the bandwidth, promoting correlated insulating states at half band filling, and superconducting (SC) phases with dome-like structure neighboring correlated insulating states. Here we show measurements of a dual-graphite-gated twisted bilayer graphene device, which minimizes charge inhomogeneity. We observe new correlated phases, including for the first time a SC pocket near half-filling of the electron-doped band and resistive states at quarter-filling of both bands that emerge in a magnetic field. Changing the layer polarization with vertical electric field reveals an unexpected competition between SC and correlated insulator phases, which we interpret to result from differences in disorder of each graphene layer and underscores the spatial inhomogeneity like twist angle as a significant source of disorder in these devices [1].},
  author       = {Chen, Shaowen and Yankowitz, Matthew and Polshyn, Hryhoriy and Watanabe, Kenji and Taniguchi, Takashi and Graf, David E. and Young, Andrea and Dean, Cory R.},
  booktitle    = {APS March Meeting 2019},
  issn         = {0003-0503},
  location     = {Boston, MA, United States},
  number       = {2},
  publisher    = {American Physical Society},
  title        = {{Correlated insulating and superconducting phases in twisted bilayer graphene}},
  volume       = {64},
  year         = {2019},
}

@article{10874,
  abstract     = {In this article we prove an analogue of a theorem of Lachaud, Ritzenthaler, and Zykin, which allows us to connect invariants of binary octics to Siegel modular forms of genus 3. We use this connection to show that certain modular functions, when restricted to the hyperelliptic locus, assume values whose denominators are products of powers of primes of bad reduction for the associated hyperelliptic curves. We illustrate our theorem with explicit computations. This work is motivated by the study of the values of these modular functions at CM points of the Siegel upper half-space, which, if their denominators are known, can be used to effectively compute models of (hyperelliptic, in our case) curves with CM.},
  author       = {Ionica, Sorina and Kılıçer, Pınar and Lauter, Kristin and Lorenzo García, Elisa and Manzateanu, Maria-Adelina and Massierer, Maike and Vincent, Christelle},
  issn         = {2363-9555},
  journal      = {Research in Number Theory},
  keywords     = {Algebra and Number Theory},
  publisher    = {Springer Nature},
  title        = {{Modular invariants for genus 3 hyperelliptic curves}},
  doi          = {10.1007/s40993-018-0146-6},
  volume       = {5},
  year         = {2019},
}

@inproceedings{10877,
  abstract     = {This report presents the results of a friendly competition for formal verification of continuous and hybrid systems with piecewise constant dynamics. The friendly competition took place as part of the workshop Applied Verification for Continuous and Hybrid Systems (ARCH) in 2019. In this third edition, six tools have been applied to solve five different benchmark problems in the category for piecewise constant dynamics: BACH, Lyse, Hy- COMP, PHAVer/SX, PHAVerLite, and VeriSiMPL. Compared to last year, a new tool has participated (HyCOMP) and PHAVerLite has replaced PHAVer-lite. The result is a snap- shot of the current landscape of tools and the types of benchmarks they are particularly suited for. Due to the diversity of problems, we are not ranking tools, yet the presented results probably provide the most complete assessment of tools for the safety verification of continuous and hybrid systems with piecewise constant dynamics up to this date.},
  author       = {Frehse, Goran and Abate, Alessandro and Adzkiya, Dieky and Becchi, Anna and Bu, Lei and Cimatti, Alessandro and Giacobbe, Mirco and Griggio, Alberto and Mover, Sergio and Mufid, Muhammad Syifa'ul and Riouak, Idriss and Tonetta, Stefano and Zaffanella, Enea},
  booktitle    = {ARCH19. 6th International Workshop on Applied Verification of Continuous and Hybrid Systems},
  editor       = {Frehse, Goran and Althoff, Matthias},
  issn         = {2398-7340},
  location     = {Montreal, Canada},
  pages        = {1--13},
  publisher    = {EasyChair},
  title        = {{ARCH-COMP19 Category Report: Hybrid systems with piecewise constant dynamics}},
  doi          = {10.29007/rjwn},
  volume       = {61},
  year         = {2019},
}

@article{10878,
  abstract     = {Starting from a microscopic model for a system of neurons evolving in time which individually follow a stochastic integrate-and-fire type model, we study a mean-field limit of the system. Our model is described by a system of SDEs with discontinuous coefficients for the action potential of each neuron and takes into account the (random) spatial configuration of neurons allowing the interaction to depend on it. In the limit as the number of particles tends to infinity, we obtain a nonlinear Fokker-Planck type PDE in two variables, with derivatives only with respect to one variable and discontinuous coefficients. We also study strong well-posedness of the system of SDEs and prove the existence and uniqueness of a weak measure-valued solution to the PDE, obtained as the limit of the laws of the empirical measures for the system of particles.},
  author       = {Flandoli, Franco and Priola, Enrico and Zanco, Giovanni A},
  issn         = {1553-5231},
  journal      = {Discrete and Continuous Dynamical Systems},
  keywords     = {Applied Mathematics, Discrete Mathematics and Combinatorics, Analysis},
  number       = {6},
  pages        = {3037--3067},
  publisher    = {American Institute of Mathematical Sciences},
  title        = {{A mean-field model with discontinuous coefficients for neurons with spatial interaction}},
  doi          = {10.3934/dcds.2019126},
  volume       = {39},
  year         = {2019},
}

@article{10879,
  abstract     = {We study effects of a bounded and compactly supported perturbation on multidimensional continuum random Schrödinger operators in the region of complete localisation. Our main emphasis is on Anderson orthogonality for random Schrödinger operators. Among others, we prove that Anderson orthogonality does occur for Fermi energies in the region of complete localisation with a non-zero probability. This partially confirms recent non-rigorous findings [V. Khemani et al., Nature Phys. 11 (2015), 560–565]. The spectral shift function plays an important role in our analysis of Anderson orthogonality. We identify it with the index of the corresponding pair of spectral projections and explore the consequences thereof. All our results rely on the main technical estimate of this paper which guarantees separate exponential decay of the disorder-averaged Schatten p-norm of χa(f(H)−f(Hτ))χb in a and b. Here, Hτ is a perturbation of the random Schrödinger operator H, χa is the multiplication operator corresponding to the indicator function of a unit cube centred about a∈Rd, and f is in a suitable class of functions of bounded variation with distributional derivative supported in the region of complete localisation for H.},
  author       = {Dietlein, Adrian M and Gebert, Martin and Müller, Peter},
  issn         = {1664-039X},
  journal      = {Journal of Spectral Theory},
  keywords     = {Random Schrödinger operators, spectral shift function, Anderson orthogonality},
  number       = {3},
  pages        = {921--965},
  publisher    = {European Mathematical Society Publishing House},
  title        = {{Perturbations of continuum random Schrödinger operators with applications to Anderson orthogonality and the spectral shift function}},
  doi          = {10.4171/jst/267},
  volume       = {9},
  year         = {2019},
}

@article{11059,
  abstract     = {The genome is packaged and organized nonrandomly within the 3D space of the nucleus to promote efficient gene expression and to faithfully maintain silencing of heterochromatin. The genome is enclosed within the nucleus by the nuclear envelope membrane, which contains a set of proteins that actively participate in chromatin organization and gene regulation. Technological advances are providing views of genome organization at unprecedented resolution and are beginning to reveal the ways that cells co-opt the structures of the nuclear periphery for nuclear organization and gene regulation. These genome regulatory roles of proteins of the nuclear periphery have important influences on development, disease and ageing.},
  author       = {Buchwalter, Abigail and Kaneshiro, Jeanae M. and HETZER, Martin W},
  issn         = {1471-0064},
  journal      = {Nature Reviews Genetics},
  keywords     = {Genetics (clinical), Genetics, Molecular Biology},
  number       = {1},
  pages        = {39--50},
  publisher    = {Springer Nature},
  title        = {{Coaching from the sidelines: The nuclear periphery in genome regulation}},
  doi          = {10.1038/s41576-018-0063-5},
  volume       = {20},
  year         = {2019},
}

@article{11060,
  abstract     = {The inner nuclear membrane (INM) is a subdomain of the endoplasmic reticulum (ER) that is gated by the nuclear pore complex. It is unknown whether proteins of the INM and ER are degraded through shared or distinct pathways in mammalian cells. We applied dynamic proteomics to profile protein half-lives and report that INM and ER residents turn over at similar rates, indicating that the INM’s unique topology is not a barrier to turnover. Using a microscopy approach, we observed that the proteasome can degrade INM proteins in situ. However, we also uncovered evidence for selective, vesicular transport-mediated turnover of a single INM protein, emerin, that is potentiated by ER stress. Emerin is rapidly cleared from the INM by a mechanism that requires emerin’s LEM domain to mediate vesicular trafficking to lysosomes. This work demonstrates that the INM can be dynamically remodeled in response to environmental inputs.},
  author       = {Buchwalter, Abigail and Schulte, Roberta and Tsai, Hsiao and Capitanio, Juliana and HETZER, Martin W},
  issn         = {2050-084X},
  journal      = {eLife},
  keywords     = {General Immunology and Microbiology, General Biochemistry, Genetics and Molecular Biology, General Medicine, General Neuroscience},
  publisher    = {eLife Sciences Publications},
  title        = {{Selective clearance of the inner nuclear membrane protein emerin by vesicular transport during ER stress}},
  doi          = {10.7554/elife.49796},
  volume       = {8},
  year         = {2019},
}