Preprints - IAM Publications


	2019 Barbara Niethammer and Richard Schubert A local version of Einstein's formula for the effective viscosity of suspensions arXiv e-prints: arXiv:1903.08554 2019 https://ui.adsabs.harvard.edu/#abs/2019arXiv190308554N

	Alessia Nota, Raphael Winter and Bertrand Lods Kinetic description of a Rayleigh Gas with annihilation 2019 https://arxiv.org/abs/1902.09433

	Alessia Nota, Raphael Winter and Bertrand Lods Kinetic description of a Rayleigh Gas with annihilation 2019 https://ui.adsabs.harvard.edu/abs/2019arXiv190209433N

	Alessia Nota, Chiara Saffirio and Sergio Simonella The generalized Boltzmann equation for magnetotransport in the Lorentz gas: rigorous validity arXiv e-prints: arXiv:1910.12983 2019 https://ui.adsabs.harvard.edu/abs/2019arXiv191012983N

	2018 M. Bonacini, B. Niethammer and JJL Velázquez Self-similar gelling solutions for the coagulation equation with diagonal kernel 2018 https://arxiv.org/abs/1711.02966

	M. Bonacini, B. Niethammer and JJL Velázquez Self-similar solutions to coagulation equations with time-dependent tails: the case of homogeneity 2018 https://arxiv.org/abs/1612.06610

	R. D. James, A. Nota and JJL Velázquez Self-similar profiles for homoenergetic solutions of the Boltzmann equation: particle velocity distribution and entropy 2018 https://arxiv.org/abs/1710.03653

	Jani Lukkarinen, Mattheo Marcozzi and Alessia Nota Summability of connected correlation functions of coupled lattice fields J. Stat. Phys., 171 (2): 189-206 2018 https://link.springer.com/article/10.1007/s10955-018-2000-6

	B. Niethammer, A. Nota, S. Throm and J.J.L. Velázquez Self-similar asymptotic behavior for the solutions of a linear coagulation equation 2018 https://arxiv.org/abs/1804.08886

	B. Niethammer and J. J. L. Velázquez Oscillatory traveling wave solutions for coagulation equations Quart. Appl. Math., 76(1): 153--188 2018 10.1090/qam/1478

	2017 Marco Bonacini, B. Niethammer and J.J. L. Velázquez Self-similar solutions to coagulation equations with time-dependent tails: the case of homogeneity smaller than one 2017 https://arxiv.org/abs/1704.08905

	Marco Bonacini, B. Niethammer and J.J. L. Velázquez Self-similar solutions to coagulation equations with time-dependent tails: the case of homogeneity one 2017 https://arxiv.org/abs/1612.06610

	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

	P.L. Ferrari, P. Ghosal and P. Nejjar Limit law of a second class particle in TASEP with non-random initial condition preprint: arXiv:1710.02323 2017 https://arxiv.org/abs/1710.02323 Abstract: We consider the totally asymmetric simple exclusion process (TASEP) with non-random 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 $t$.

	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

	2016 P.L. Ferrari and P. Nejjar Fluctuations of the competition interface in presence of shocks arXiv:1603.07498 2016 http://arxiv.org/abs/1603.07498 Abstract: We consider last passage percolation (LPP) models with exponentially distributed random variables, which are linked to the totally asymmetric simple exclusion process (TASEP). The competition interface for LPP was introduced and studied by Ferrari and Pimentel in [Ann. Probab. 33 (2005), 1235-1254] for cases where the corresponding exclusion process had a rarefaction fan. Here we consider situations with a shock and determine the law of the fluctuations of the competition interface around its deterministic law of large number position. We also study the multipoint distribution of the LPP around the shock, extending our one-point result of [Probab. Theory Relat. Fields 61 (2015), 61-109].

	Michael Herrmann, Barbara Niethammer and Juan J. L. Velázquez Instabilities and oscillations in coagulation equations with kernels of homogeneity one 2016 http://arxiv.org/abs/1606.09405

	P. Laurençot, B. Niethammer and J. J. L. Velázquez Oscillatory dynamics in Smoluchowski's coagulation equation with diagonal kernel 2016 http://arxiv.org/abs/1603.02929

	A. Nota and J.J.L. Velázquez On the growth of a particle coalescing in a Poisson distribution of obstacles 2016 http://arxiv.org/abs/1608.08118

	2015 Patrik L. Ferrari and Peter Nejjar Anomalous shock fluctuations in TASEP and last passage percolation models Probab. Theory Related Fields, 161(1): 61-109 2015 http://dx.doi.org/10.1007/s00440-013-0544-6 Abstract: We consider the totally asymmetric simple exclusion process with initial conditions and/or jump rates such that shocks are generated. If the initial condition is deterministic, then the shock at time $t$ will have a width of order $t^{1/3}$. We determine the law of particle positions in the large time limit around the shock in a few models. In particular, we cover the case where at both sides of the shock the process of the particle positions is asymptotically described by the Airy$_1$ process. The limiting distribution is a product of two distribution functions, which is a consequence of the fact that at the shock two characteristics merge and of the slow decorrelation along the characteristics. We show that the result generalizes to generic last passage percolation models.

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