| 2020David Fajman, Gernot Heißel and Jin Woo Jang
Averaging with a time-dependent perturbation parameter
2020
https://ui.adsabs.harvard.edu/abs/2020arXiv200612844F
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| Maximillian Fels and Lisa B. Hartung
Extremes of the 2d scale-inhomogeneous discrete Gaussian free field: Extremal process in the weakly correlated regime
2020
https://arxiv.org/abs/2002.00925
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| Maximilian Fels and Lisa B. Hartung
Extremes of the 2d scale-inhomogeneous discrete Gaussian free field: Convergence of the maximum in the regime of weak correlations
2020
https://arxiv.org/abs/1912.13184
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| P.L. Ferrari and B. Vető
Upper tail decay of KPZ models with Brownian initial conditions
preprint,arXiv:2007.13496 2020
https://arxiv.org/abs/2007.13496
Abstract: In this paper we consider the limiting distribution of KPZ growth models with random but not stationary initial conditions introduced in [Chhita-Ferrari-Spohn 2018]. The one-point distribution of the limit is given in terms of a variational problem. By directly studying it, we deduce the right tail asymptotic of the distribution function. This gives a rigorous proof and extends the results obtained in [Meerson-Schmidt 2017]. |
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| P.L. Ferrari, Muhittin Mungan and M. Mert Terzi
The Preisach graph and longest increasing subsequences
arXiv:2004.03138 2020
https://arxiv.org/abs/2004.03138
Abstract: The Preisach graph is a directed graph associated with a permutation ÏâSN. We give an explicit bijection between the vertices and increasing subsequences of Ï, with the property that its length equals the degree of nesting of the vertex inside a hierarchy of cycles and sub-cycles. As a consequence, the nesting degree of the Preisach graph equals the length of the longest increasing subsequence. |
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| Fabian Hoppe and Ira Neitzel
Optimal control of quasilinear parabolic PDEs with state constraints
2020
https://ins.uni-bonn.de/media/public/publication-media/INSPreprint2004.pdf
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| Fabian Hoppe and Ira Neitzel
A-posteriori reduced basis error-estimates for a semi-discrete in space quasilinear parabolic PDE
2020
https://ins.uni-bonn.de/media/public/publication-media/INSPreprint2005.pdf
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| Richard D. James and Alessia Nota
Long time asymptotics for homoenergetic solutions of the Boltzmann equation. Hyperbolic-dominated case
Nonlinearity, 33(8): 3781--3815 2020
10.1088/1361-6544/ab853f
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| Jin Woo Jang and Juan J. L. Velázquez
Kinetic Models for Semiflexible Polymers in a Half-plane
2020
https://ui.adsabs.harvard.edu/abs/2020arXiv201101491J
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| Jae Yong Lee, Jin Woo Jang and Hyung Ju Hwang
The model reduction of the Vlasov-Poisson-Fokker-Planck system to the Poisson-Nernst-Planck system via the Deep Neural Network Approach
2020
https://ui.adsabs.harvard.edu/abs/2020arXiv200913280L
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| Christina Lienstromberg, Tania Pernas Castaño and Juan J. L. Velázquez
Analysis of a two-fluid Taylor-Couette flow with one non-Newtonian fluid
2020
https://ui.adsabs.harvard.edu/abs/2020arXiv201210734L
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| M. Mert Terzi and Muhittin Mungan
The state transition graph of the Preisach model and the role of return point memory
2020
https://arxiv.org/pdf/2001.08486.pdf
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| P. Nejjar
KPZ statistics of second class particles in ASEP via mixing
Commun. Math. Phys., 378: 601--623 2020
https://doi.org/10.1007/s00220-020-03782-5
Abstract: We consider the asymmetric simple exclusion process on Z with a single second class particle initially at the origin. The first class particles form two rarefaction fans which come together at the origin, where the large time density jumps from 0 to 1. We are interested in X(t), the position of the second class particle at time t. We show that, under the KPZ 1/3 scaling, X(t) is asymptotically distributed as the difference of two independent, GUE-distributed random variables.The key part of the proof is to show that X(t) equals, up to a negligible term, the difference of a random number of holes and particles, with the randomness built up by ASEP itself. This provides a KPZ analogue to the 1994 result of Ferrari and Fontes, where this randomness comes from the initial data and leads to Gaussian limit laws. |
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| Alessia Nota, Juan J. L. Velázquez and Raphael Winter
On the theory of kinetic equations for interacting particle systems with long range interactions
arXiv e-prints: arXiv:2003.11605 2020
https://ui.adsabs.harvard.edu/abs/2020arXiv200311605N
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| 2019D. Betea, P.L. Ferrari and A. Occelli
Stationary half-space last passage percolation
preprint: arXiv:1905.08582 2019
https://arxiv.org/abs/1905.08582
Abstract: In this paper we study stationary last passage percolation (LPP) in half-space geometry. We determine the limiting distribution of the last passage time in a critical window close to the origin. The result is a two-parameter family of distributions: one parameter for the strength of the diagonal bounding the half-space (strength of the source at the origin in the equivalent TASEP language) and the other for the distance of the point of observation from the origin. It should be compared with the one-parameter family giving the BaikâRains distributions for full-space geometry. The result is obtained by using a related integrable model, having Pfaffian structure, together with careful analytic continuation and steepest descent analysis. |
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| Bastian Bohn, Michael Griebel and Jens Oettershagen
Optimally rotated coordinate systems for adaptive least-squares regression on sparse grids
2019
https://ins.uni-bonn.de/media/public/publication-media/INSPreprint_RotRegr.pdf
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| Anton Bovier, Saeda Marello, P. L. Ferrari and Elena Pulvirenti
Metastability for the dilute Curie-Weiss model with Glauber dynamics
2019
https://arxiv.org/abs/1912.10699
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| Sergio Conti, Matteo Focardi and Flaviana Iurlano
Existence of strong minimizers for the Griffith static fracture model in dimension two
Ann. Inst. Henri Poincaré C, Anal. Non Linéaire, 36: 455-474 2019
10.1016/j.anihpc.2018.06.003
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| Sergio Conti, Martin Lenz, Nora Lüthen, Martin Rumpf and Barbara Zwicknagl
Geometry of martensite needles in shape memory alloys
2019
https://arxiv.org/abs/1912.02274
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| Jansen Sabine Kotecky Roman Pulvirenti Elena den Hollander Frank
The Widom-Rowlinson model: Mesoscopic fluctuations for the critical droplet
2019
https://arxiv.org/abs/1907.00453
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