 2018Anton Bovier, Loren Coquille and Charline Smadi
Crossing a fitness valley as a metastable transition in a stochastic population model
2018
https://arxiv.org/abs/1801.06473

 
 Muhittin Mungan and M. Mert Terzi
The structure of state transition graphs in hysteresis models with return point memory. I. General Theory
2018
https://arxiv.org/abs/1802.03096

 
 2017Martina Baar and Anton Bovier
The polymorphic evolution sequence for populations with phenotypic plasticity
2017
https://arxiv.org/abs/1708.01528

 
 Kaveh Bashiri
A note on the metastability in three modifications of the standard Ising model
2017
https://arxiv.org/pdf/1705.07012.pdf

 
 Anton Bovier, Loren Coquille and Rebecca Neukirch
The recovery of a recessive allele in a Mendelian dipoloid model
2017
https://arxiv.org/abs/1703.02459

 
 S. Chhita, P.L. Ferrari and F.L. Toninelli
Speed and fluctuations for some driven dimer models
preprint: arXiv:1705.07641 2017
https://arxiv.org/abs/1705.07641
Abstract: We consider driven dimer models on the square and honeycomb graphs, starting from a stationary Gibbs measure. Each model can be thought of as a two dimensional stochastic growth model of an interface, belonging to the anisotropic KPZ universality class. We use a combinatorial approach to determine the speed of growth and show logarithmic growth in time of the variance of the height function fluctuations. 
 
 S. Conti, M. Klar and B. Zwicknagl
Piecewise affine stressfree martensitic inclusions in planar nonlinear elasticity
Proc. Roy. Soc. A, 473(2203) 2017
http://rspa.royalsocietypublishing.org/content/473/2203/20170235
Abstract: We consider a partial differential inclusion problem which models stressfree martensitic inclusions in an austenitic matrix, based on the standard geometrically nonlinear elasticity theory. We show that for specific parameter choices there exist piecewise affine continuous solutions for the squaretooblique and the hexagonaltooblique phase transitions. This suggests that for specific crystallographic parameters the hysteresis of the phase transformation will be particularly small. 
 
 Carlota M. Cuesta, Hans Knüpfer and J.J. L. Velázquez
Selfsimilar lifting and persistent touchdown points in the thin film equation
2017
https://arxiv.org/abs/1708.00243

 
 P.L. Ferrari and A. Occelli
Universality of the GOE TracyWidom distribution for TASEP with arbitrary particle density
preprint: arXiv:1704.01291 2017
https://arxiv.org/abs/1704.01291
Abstract: We consider TASEP in continuous time with nonrandom initial conditions and arbitrary fixed density of particles. We show GOE TracyWidom universality of the onepoint fluctuations of the associated height function. The result phrased in last passage percolation language is the universality for the pointtoline problem where the line has an arbitrary slope. 
 
 P.L. Ferrari, P. Ghosal and P. Nejjar
Limit law of a second class particle in TASEP with nonrandom initial condition
preprint: arXiv:1710.02323 2017
https://arxiv.org/abs/1710.02323
Abstract: We consider the totally asymmetric simple exclusion process (TASEP) with nonrandom initial condition having density $\rho$ on $\mathbb{Z}_$ and $\lambda$ on $\mathbb{Z}_+$, and a second class particle initially at the origin. For $\rho<\lambda$, there is a shock and the second class particle moves with speed $1\lambda\rho$. For large time $t$, we show that the position of the second class particle fluctuates on a $t^{1/3}$ scale and determine its limiting law. We also obtain the limiting distribution of the number of steps made by the second class particle until time $t$. 
 
 P.L. Ferrari
Finite GUE distribution with cutoff at a shock
preprint: arXiv:1712.00102 2017
https://arxiv.org/abs/1712.00102
Abstract: We consider the totally asymmetric simple exclusion process with initial conditions generating a shock. The fluctuations of particle positions are asymptotically governed by the randomness around the two characteristic lines joining at the shock. We describe this in terms of spacetime correlations, without employing the mapping to the last passage percolation. We then consider a special case, where the asymptotic distribution is a cutoff of the distribution of the largest eigenvalue of a finite GUE matrix. Finally we discuss the strength of the probabilistic and physically motivated approach and compare it with the mathematical difficulties of a direct computation. 
 
 B. Niethammer Marco Bonacini and J.J. L. Velázquez
Selfsimilar solutions to coagulation equations with timedependent tails: the case of homogeneity smaller than one
2017
https://arxiv.org/abs/1704.08905

 
 Barbara Niethammer Marco Bonacini and J.J. L. Velázquez
Selfsimilar solutions to coagulation equations with timedependent tails: the case of homogeneity one
2017
https://arxiv.org/abs/1612.06610

 
 Alessia Nota, Sergio Simonella and Juan J.L. Velázquez
On the theory of the Lorentz gases with long range interactions
2017
https://arxiv.org/abs/1707.04193

 
 Angkana Rüland, Christian Zillinger and Barbara Zwicknagl
Higher Sobolev Regularity of Convex Integration Solutions in Elasticity: The Dirichlet Problem with Affine Data in int($K^lc$)
2017
https://arxiv.org/abs/1709.02880

 
 J.J. L. Velázquez and Raphael Winter
From a nonMarkovian system to the Landau equation
2017
https://arxiv.org/abs/1707.07544

 
 2016Stefan Adams, Roman Kotecký and Stefan Müller
Strict Convexity of the Surface Tension for Nonconvex Potentials
2016
http://arxiv.org/abs/1606.09541v1

 
 Sebastian Andres and Lisa B. Hartung
Diffusion processes on branching Brownian motion
2016
https://arxiv.org/abs/1607.08132

 
 S. Andres and L. Hartung
Diffusion processes on branching Brownian motion
ArXiv eprints 2016
http://adsabs.harvard.edu/abs/2016arXiv160708132A

 
 V. Beffara, S. Chhita and K. Johansson
Airy point process at the liquidgas boundary
arXiv:1606.08653 2016
http://arxiv.org/abs/1606.08653
Abstract: {Domino tilings of the twoperiodic Aztec diamond feature all of the three possible types of phases of random tiling models. These phases are determined by the decay of correlations between dominoes and are generally known as solid, liquid and gas. The liquidsolid boundary is easy to define microscopically and is known in many models to be described by the Airy process in the limit of a large random tiling. The liquidgas boundary has no obvious microscopic description. Using the height function we define a random measure in the twoperiodic Aztec diamond designed to detect the long range correlations visible at the liquidgas boundary. We prove that this random measure converges to the extended Airy point process. This indicates that, in a sense, the liquidgas boundary should also be described by the Airy process.} 
 