Publications related to Stuck Walks: A Conjecture Of Erschler, Toth And Werner

On Approximations of Data-Driven Chance Constrained Programs over Wasserstein Balls

Daniel Kuhn, Zhi Chen, Wolfram Wiesemann

Distributionally robust chance constrained programs minimize a deterministic cost function subject to the satisfaction of one or more safety conditions with high probability, given that the probability distribution of the uncertain problem parameters affec ...

2022

Structure of multicorrelation sequences with integer part polynomial iterates along primes

Florian Karl Richter

Let T be a measure-preserving Zℓ-action on the probability space (X,B,μ), let q1,…,qm:R→Rℓ be vector polynomials, and let f0,…,fm∈L∞⁡(X). For any ϵ>0 and multicorrelation sequences of the form α⁡(n)=∫Xf0⋅T⌊q1⁡(n)⌋⁢f1⋯T⌊qm⁡(n)⌋⁢fmd⁢μ we show that there exis ...

2021

Robust Generalization via $\alpha$-Mutual Information

Michael Christoph Gastpar, Amedeo Roberto Esposito, Ibrahim Issa

The aim of this work is to provide bounds connecting two probability measures of the same event using Rényi

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\alpha

-Mutual Information, a generalization of respectively the Kullback-Leibler Divergence and Shannon’s Mutual ...

ETHZ2020

Tighter thermodynamic bound on the speed limit in systems with unidirectional transitions

Daniel Maria Busiello, Deepak Gupta

We consider a general discrete state-space system with both unidirectional and bidirectional links. In contrast to bidirectional links, there is no reverse transition along the unidirectional links Herein, we first compute the statistical length and the th ...

2020

Gaplessness is not generic for translation-invariant spin chains

Marius Christopher Lemm

The existence of a spectral gap above the ground state has far-reaching consequences for the low-energy physics of a quantum many-body system. A recent work of Movassagh [R. Movassagh, Phys. Rev. Lett. 119, 220504 (2017)] shows that a spatially random loca ...

2019

Extracting the Critical Rooting Length in Plant Uprooting by Flow From Pullout Experiments

Paolo Perona, Giulio Calvani

The growth and establishment of riparian vegetation on river bedforms is of hydrological as well as ecological importance as it helps in enhancing spatial heterogeneity and thus the biodiversity of river corridors. Yet, during floods, flow drag and scourin ...

AGU2019

Statistical Aspects of Wasserstein Distances

Victor Panaretos, Yoav Zemel

Wasserstein distances are metrics on probability distributions inspired by the problem of optimal mass transportation. Roughly speaking, they measure the minimal effort required to reconfigure the probability mass of one distribution in order to recover th ...

ANNUAL REVIEWS2019

The asymmetric multitype contact process

Thomas Mountford, Daniel Rodrigues Valesin

We study the multitype contact process on Z(d) under the assumption that one of the types has a birth rate that is larger than that of the other type, and larger than the critical value of the standard contact process. We prove that, if initially present, ...

ELSEVIER SCIENCE BV2019

The stochastic heat equation: hitting probabilities and the probability density function of the supremum via Malliavin calculus

Fei Pu

In this thesis, we study systems of linear and/or non-linear stochastic heat equations and fractional heat equations in spatial dimension

1

driven by space-time white noise. The main topic is the study of hitting probabilities for the solutions to these ...

EPFL2018

The Complexity of a Reliable Distributed System

Alexandre David Olivier Maurer

Studying the complexity of distributed algorithms typically boils down to evaluating how the number of messages exchanged (resp. communication steps performed or shared memory operations executed) by nodes to reliably achieve some common task, evolves with ...

2017

Stuck Walks: A Conjecture Of Erschler, Toth And Werner

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On Approximations of Data-Driven Chance Constrained Programs over Wasserstein Balls

Structure of multicorrelation sequences with integer part polynomial iterates along primes

Robust Generalization via $\alpha$-Mutual Information

Tighter thermodynamic bound on the speed limit in systems with unidirectional transitions

Gaplessness is not generic for translation-invariant spin chains

Extracting the Critical Rooting Length in Plant Uprooting by Flow From Pullout Experiments

Statistical Aspects of Wasserstein Distances

The asymmetric multitype contact process

The stochastic heat equation: hitting probabilities and the probability density function of the supremum via Malliavin calculus

The Complexity of a Reliable Distributed System

Structure of multicorrelation sequences with integer part polynomial iterates along primes

Extracting the Critical Rooting Length in Plant Uprooting by Flow From Pullout Experiments

Statistical Aspects of Wasserstein Distances

The asymmetric multitype contact process

Tighter thermodynamic bound on the speed limit in systems with unidirectional transitions

Gaplessness is not generic for translation-invariant spin chains

On Approximations of Data-Driven Chance Constrained Programs over Wasserstein Balls

Robust Generalization via $\alpha$-Mutual Information

The stochastic heat equation: hitting probabilities and the probability density function of the supremum via Malliavin calculus

The Complexity of a Reliable Distributed System