Preprints - IAM Publications


	2022 Anton Bovier and Lisa B. Hartung The speed of invasion in an advancing population 2022 https://arxiv.org/abs/2204.11072

	Anton Bovier and Adrien Schertzer Fluctuations of the free energy in p-spin SK models on two scales 2022 https://arxiv.org/abs/2205.15080

	2021 Anton Bovier and Lisa B. Hartung Branching Brownian motion with self repulsion 2021 http://arxiv.org/abs/2102.07128

	2019 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

	2018 Kaveh Bashiri and Anton Bovier Gradient flow approach to local mean-field spin systems 2018 https://arxiv.org/abs/1806.07121

	Anton 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

	Anton Bovier, Dmitry Ioffe and Patrick Müller The hydrodynamics limit for local mean-field dynamics with unbounded spins 2018 https://arxiv.org/abs/1805.00641

	Anton Bovier and Lisa B. Hartung From $1$ to $6$: a finer analysis of perturbed branching Brownian motion 2018 https://arxiv.org/abs/1808.05445

	Anna Kraut and Anton Bovier From adaptive dynamics to adaptive walks 2018 https://arxiv.org/abs/1810.13188

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

	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

	2015 Louis-Pierre Arguin, Anton Bovier and Nicola Kistler An ergodic theorem for the extremal process of branching Brownian motion Ann. Inst. Henri Poincaré Probab. Stat., 51(2): 557--569 2015 http://dx.doi.org/10.1214/14-AIHP608

	Anton Bovier and Martina Baar From stochastic, individual-based models to the canonical equation of adaptive dynamics -- in one step 2015 http://arxiv.org/abs/1505.02421

	Anton Bovier and Lisa B. Hartung Variable speed branching Brownian motion 1. Extremal processes in the weak correlation regime Lat. Am. J. Probab. Math. Stat., 12(1): 261-291 2015 http://alea.impa.br/articles/v12/12-11.pdf Abstract: We prove the convergence of the extremal processes for variable speed branching Brownian motions where the ”speed functions”, that describe the timeinhomogeneous variance, lie strictly below their concave hull and satisfy a certain weak regularity condition. These limiting objects are universal in the sense that they only depend on the slope of the speed function at 0 and the final time t. The proof is based on previous results for two-speed BBM obtained in Bovier and Hartung (2014) and uses Gaussian comparison arguments to extend these to the general case.

	Anton Bovier and Hannah Mayer A conditional strong large deviation result and a functional central limit theorem for the rate function ALEA Lat. Am. J. Probab. Math. Stat., 12(1): 533--550 2015 http://alea.impa.br/articles/v12/12-21.pdf

	2014 Anton Bovier and Lisa B. Hartung The extremal process of two-speed branching Brownian motion Electron. J. Probab., 19(Art. 18): 1-28 2014 http://dx.doi.org/10.1214/EJP.v19-2982 Abstract: We construct and describe the extremal process for variable speed branching Brownian motion, studied recently by Fang and Zeitouni \citeFZ_BM, for the case of piecewise constant speeds; in fact for simplicity we concentrate on the case when the speed is $\sigma_1$ for $s\leq bt$ and $\sigma_2$ when $bt\leq s\leq t$. In the case $\sigma_1>\sigma_2$, the process is the concatenation of two BBM extremal processes, as expected. In the case $\sigma_1<\sigma_2$, a new family of cluster point processes arises, that are similar, but distinctively different from the BBM process. Our proofs follow the strategy of Arguin, Bovier, and Kistler.

	Anton Bovier and Lisa B. Hartung Extended Convergence of the Extremal Process of Branching Brownian Motion ArXiv e-prints 2014 http://arxiv.org/abs/1412.5975 Abstract: We extend the results of Arguin et al and A\"\i{}d\'ekon et al on the convergence of the extremal process of branching Brownian motion by adding an extra dimension that encodes the "location" of the particle in the underlying Galton-Watson tree. We show that the limit is a cluster point process on R+×R where each cluster is the atom of a Poisson point process on R+×R with a random intensity measure Z(dz)×Ce−2√x, where the random measure is explicitly constructed from the derivative martingale. This work is motivated by an analogous conjecture for the Gaussian free field by Biskup and Louidor.

	0 Anton Bovier From spin glasses to branching Brownian motion---and back? In Random walks, random fields, and disordered systems, Volume 2144 of Lecture Notes in Math. page 1--64. Publisher: Springer, Cham 0 http://dx.doi.org/10.1007/978-3-319-19339-7_1

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