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pro vyhledávání: '"Igelbrink, Jan Lukas"'
We construct and study branching fractional Brownian motion with Hurst parameter $H\in(1/2,1)$. The construction relies on a generalization of the discrete approximation of fractional Brownian motion (Hammond and Sheffield, Probability Theory and Rel
Externí odkaz:
http://arxiv.org/abs/2310.04386
Publikováno v:
J. Math. Biol. 89, 11 (2024)
Cheek and Johnston (Journal of Mathematical Biology, 2023) consider a continuous-time Bienaym\'e-Galton-Watson tree conditioned on being alive at time $T$. They study the reproduction events along the ancestral lineage of an individual randomly sampl
Externí odkaz:
http://arxiv.org/abs/2309.05998
Muller's ratchet, in its prototype version, models a haploid, asexual population whose size~$N$ is constant over the generations. Slightly deleterious mutations are acquired along the lineages at a constant rate, and individuals carrying less mutatio
Externí odkaz:
http://arxiv.org/abs/2306.00471
Publikováno v:
ALEA, Lat. Am. J. Probab. Math. Stat. 20, 53-74 (2023)
For the renormalised sums of the random $\pm 1$-colouring of the connected components of $\mathbb Z$ generated by the coalescing renewal processes in the "power law P\'olya's urn" of Hammond and Sheffield we prove functional convergence towards fract
Externí odkaz:
http://arxiv.org/abs/2201.06576
We show that for low enough temperatures, but still above the AT line, the Jacobian of the TAP equations for the SK model has a macroscopic fraction of eigenvalues outside the unit interval. This provides a simple explanation for the numerical instab
Externí odkaz:
http://arxiv.org/abs/2111.02134
Akademický článek
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Autor:
Igelbrink, Jan Lukas1 jigelbri@uni-mainz.de, Wakolbinger, Anton2 wakolbinger@math.uni-frankfurt.de
Publikováno v:
ALEA. Latin American Journal of Probability & Mathematical Statistics. 2023, Vol. 20 Issue 1, p53-74. 22p.
Publikováno v:
Electronic Communications in Probability. 27
We show that for low enough temperatures, but still above the AT line, the Jacobian of the TAP equations for the SK model has a macroscopic fraction of eigenvalues outside the unit interval. This provides a simple explanation for the numerical instab