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6 papers · 1 filter
Kingman's coalescent with erosion
Félix Foutel-Rodier, Amaury Lambert, Emmanuel Schertzer
Consider the Markov process taking values in the partitions of N such that each pair of blocks merges at rate one, and each integer is eroded, i.e., becomes a singleton block, at r…
Scaling Limit of Sub-ballistic 1D Random Walk among Biased Conductances: a Story of Wells and Walls
Quentin Berger, Michele Salvi
We consider a one-dimensional random walk among biased i.i.d. conductances, in the case where the random walk is transient but sub-ballistic: this occurs when the conductances have…
Permanental vectors with nonsymmetric kernels
Nathalie Eisenbaum
A permanental vector with a symmetric kernel and index is a squared Gaussian vector. The definition of permanental vectors is a natural extension of the definition of squared G…
Phase transition for a non-attractive infection process in heterogeneous environment
Marinus Gottschau, Markus Heydenreich, Kilian Matzke +1
We consider a non-attractive three state contact process on and prove that there exists a regime of survival as well as a regime of extinction. In more detail, the proc…
New sharp Gagliardo-Nirenberg-Sobolev inequalities and an improved Borell-Brascamp-Lieb inequality
François Bolley, Dario Cordero-Erausquin, Yasuhiro Fujita +2
We propose a new Borell-Brascamp-Lieb inequality which leads to novel sharp Euclidean inequalities such as Gagliardo-Nirenberg-Sobolev inequalities in R^n and in the half-space R^n…
Hydrodynamic limit for conservative spin systems with super-quadratic, partially inhomogeneous single-site potential
Max Fathi, Georg Menz
We consider an interacting unbounded spin system, with conservation of the mean spin. We derive quantitative rates of convergence to the hydrodynamic limit provided the single-site…