Výsledky vyhledávání - "Nina Gantert"

Biased Random Walk on Spanning Trees of the Ladder Graph

Autor: Nina Gantert, Achim Klenke

Publikováno v: Journal of Statistical Physics. 190

We consider a specific random graph which serves as a disordered medium for a particle performing biased random walk. Take a two-sided infinite horizontal ladder and pick a random spanning tree with a certain edge weight $c$ for the (vertical) rungs.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::840ff2077e089aae17c984635eeacdc0
https://doi.org/10.1007/s10955-023-03091-w

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Ancestral lineages in spatial population models with local regulation

Autor: Matthias Birkner, Nina Gantert

We give a short overview on our work on ancestral lineages in spatial population models with local regulation. We explain how an ancestral lineage can be interpreted as a random walk in a dynamic random environment. Defining regeneration times allows

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::62a0fffafc9c5b915313377e45b9ad05
https://mediatum.ub.tum.de/1662243

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The TASEP on Galton–Watson trees

Autor: Nina Gantert, Nicos Georgiou, Dominik Schmid

We study the totally asymmetric simple exclusion process (TASEP) on trees where particles are generated at the root. Particles can only jump away from the root, and they jump from $x$ to $y$ at rate $r_{x,y}$ provided $y$ is empty. Starting from the

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d7c404f744ae80a8dd89af905626b7e2
https://mediatum.ub.tum.de/1662242

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Strictly weak consensus in the uniform compass model on $\mathbb{Z}$

Autor: Nina Gantert, Timo Hirscher, Markus Heydenreich

Publikováno v: Bernoulli 26, no. 2 (2020), 1269-1293

We investigate a model for opinion dynamics, where individuals (modeled by vertices of a graph) hold certain abstract opinions. As time progresses, neighboring individuals interact with each other, and this interaction results in a realignment of opi

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e589af8a4a23c6133599a1e53d2c3e90
https://doi.org/10.3150/19-bej1155

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The speed of the tagged particle in the exclusion process on Galton–Watson trees

Autor: Dominik Schmid, Nina Gantert

Publikováno v: Electron. J. Probab.

We study two different versions of the simple exclusion process on augmented Galton-Watson trees, the constant speed model and the varying speed model. In both cases, the simple exclusion process starts from an equilibrium distribution with non-vanis

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::81ae232880549a7f535458bbd4ba355b
https://doi.org/10.1214/20-ejp477

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Large deviations for the maximum of a branching random walk with stretched exponential tails

Autor: Nina Gantert, Piotr Dyszewski, Thomas Höfelsauer

Publikováno v: Electron. Commun. Probab.

We prove large deviation results for the position of the rightmost particle, denoted by $M_n$, in a one-dimensional branching random walk in a case when Cram\'er's condition is not satisfied. More precisely we consider step size distributions with st

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https://projecteuclid.org/euclid.ecp/1601604027

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Einstein relation and linear response in one-dimensional Mott variable-range hopping

Autor: Michele Salvi, Alessandra Faggionato, Nina Gantert

Publikováno v: Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques
Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques, Institut Henri Poincaré (IHP), 2019, 55 (3), pp.1477-1508. ⟨10.1214/18-AIHP925⟩
Ann. Inst. H. Poincaré Probab. Statist. 55, no. 3 (2019), 1477-1508
Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques, Institute Henri Poincaré, 2019, 55 (3), pp.1477-1508. ⟨10.1214/18-AIHP925⟩

We consider one-dimensional Mott variable-range hopping with a bias, and prove the linear response as well as the Einstein relation, under an assumption on the exponential moments of the distances between neighboring points. In a previous paper \cite

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https://hal.archives-ouvertes.fr/hal-02374594

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Einstein Relation for Random Walk in a One-Dimensional Percolation Model

Autor: Nina Gantert, Matthias Meiners, Sebastian Müller

Publikováno v: Journal of Statistical Physics
Journal of Statistical Physics, 2019, 176 (4), pp.737-772. ⟨10.1007/s10955-019-02319-y⟩
Journal of Statistical Physics, Springer Verlag, 2019, 176 (4), pp.737-772. ⟨10.1007/s10955-019-02319-y⟩

We consider random walks on the infinite cluster of a conditional bond percolation model on the infinite ladder graph. In a companion paper, we have shown that if the random walk is pulled to the right by a positive bias $$\uplambda > 0$$ , then its

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6d519e09e797aa387e69ae2e1341c6a8
https://hal.science/hal-03191766

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The speed of biased random walk among random conductances

Autor: Nicolas Berger, Jan Nagel, Nina Gantert

Publikováno v: Ann. Inst. H. Poincaré Probab. Statist. 55, no. 2 (2019), 862-881
arXiv. Cornell University Library
arXiv

Nous etudions des marches aleatoires biaisees dans un milieu aleatoire donne par des poids iid sur les aretes de $\mathbb{Z}^{d}$. Les poids sont bornes au-dessus et ils ont une borne inferieure qui est strictement positive. Nous nous interessons pou

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https://projecteuclid.org/euclid.aihp/1557820834

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Arbitrary many walkers meet infinitely often in a subballistic random environment

Autor: Alexis Devulder, Nina Gantert, Françoise Pène

Publikováno v: Electronic Journal of Probability
Electronic Journal of Probability, Institute of Mathematical Statistics (IMS), 2019, 24, pp.60-97. ⟨10.1214/19-EJP344⟩
Electron. J. Probab.

We consider $d$ independent walkers in the same random environment in $\mathbb{Z}$. Our assumption on the law of the environment is such that a single walker is transient to the right but subballistic. We show that - no matter what $d$ is - the $d$ w

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bde9fcdcb8c67b52a70fe479e3f42716
https://hal.archives-ouvertes.fr/hal-01940015v3/file/euclid.ejp.1568793794.pdf

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