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pro vyhledávání: '"Bovier, A."'
We consider a discrete-time binary branching random walk with independent standard normal increments subject to a penalty $\b$ for every pair of particles that get within distance $\e$ of each other at any time. We give a precise description of the m
Externí odkaz:
http://arxiv.org/abs/2407.15533
The drift-barrier hypothesis states that random genetic drift constrains the refinement of a phenotype under natural selection. The influence of effective population size and the genome-wide deleterious mutation rate were studied theoretically, and a
Externí odkaz:
http://arxiv.org/abs/2406.09094
We study the extremes of variable speed branching Brownian motion (BBM) where the time-dependent "speed functions", which describe the time-inhomogeneous variance, converge to the identity function. We consider general speed functions lying strictly
Externí odkaz:
http://arxiv.org/abs/2405.03580
We introduce a general class of mean-field-like spin systems with random couplings that comprises both the Ising model on inhomogeneous dense random graphs and the randomly diluted Hopfield model. We are interested in quantitative estimates of metast
Externí odkaz:
http://arxiv.org/abs/2209.09827
Autor:
Bovier, Anton, Schertzer, Adrien
20 years ago, Bovier, Kurkova, and L\"owe [5] proved a central limit theorem (CLT) for the fluctuations of the free energy in the p-spin version of the Sherrington-Kirkpatrick model of spin glasses at high temperatures. In this paper we improve their
Externí odkaz:
http://arxiv.org/abs/2205.15080
Autor:
Bovier, Anton, Hartung, Lisa
We derive rigorous estimates on the speed of invasion of an advantageous trait in a spatially advancing population in the context of a system of one-dimensional F-KPP equations. The model was introduced and studied heuristically and numerically in a
Externí odkaz:
http://arxiv.org/abs/2204.11072
Publikováno v:
Commun. Math. Phys. 392 (2022), 307-345
Consider the complete graph on $n$ vertices. To each vertex assign an Ising spin that can take the values $-1$ or $+1$. Each spin $i \in [n]=\{1,2,\dots, n\}$ interacts with a magnetic field $h \in [0,\infty)$, while each pair of spins $i,j \in [n]$
Externí odkaz:
http://arxiv.org/abs/2107.04543
Publikováno v:
In Médecine Palliative Soins de Support - Accompagnement - Ethique May 2024 23(3):159-170
Autor:
Bovier, Anton, Hartung, Lisa
We consider a model of branching Brownian motion with self repulsion. Self-repulsion is introduced via change of measure that penalises particles spending time in an $\e$-neighbourhood of each other. We derive a simplified version of the model where
Externí odkaz:
http://arxiv.org/abs/2102.07128
Autor:
La Rocca, Luis A., Frank, Julia, Bentzen, Heidi Beate, Pantel, Jean-Tori, Gerischer, Konrad, Bovier, Anton, Krawitz, Peter M.
Despite increasing data from population-wide sequencing studies, the risk for recessive disorders in consanguineous partnerships is still heavily debated. An important aspect that has not sufficiently been investigated theoretically, is the influence
Externí odkaz:
http://arxiv.org/abs/2012.04968