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pro vyhledávání: '"60F99"'
We characterize the limiting distributions of random variables of the form $P_n\left( (X_i)_{i \ge 1} \right)$, where: (i) $(P_n)_{n \ge 1}$ is a sequence of multivariate polynomials, each potentially involving countably many variables; (ii) there ex
Externí odkaz:
http://arxiv.org/abs/2412.06749
Autor:
Zhiyanov, A. P., Shklyaev, A. V.
We consider a critical bisexual branching process in a random environment generated by independent and identically distributed random variables. Assuming that the process starts with a large number of pairs $N$, we prove that its extinction time is o
Externí odkaz:
http://arxiv.org/abs/2411.07737
Autor:
Jaffe, Adam Quinn
While there exists a well-developed asymptotic theory of Fr\'echet means of random variables taking values in a general "finite-dimensional" metric space, there are only a few known results in which the random variables can take values in an "infinit
Externí odkaz:
http://arxiv.org/abs/2410.17214
Autor:
Benning, Felix, Döring, Leif
We prove that all 'gradient span algorithms' have asymptotically deterministic behavior on scaled Gaussian random functions as the dimension tends to infinity. In particular, this result explains the counterintuitive phenomenon that different trainin
Externí odkaz:
http://arxiv.org/abs/2410.09973
We consider two independent Erd\H{o}s-R\'enyi random graphs, with possibly different parameters, and study two isomorphism problems, a graph embedding problem and a common subgraph problem. Under certain conditions on the graph parameters we show a s
Externí odkaz:
http://arxiv.org/abs/2410.00214
Autor:
Sterk, Alef E.
This paper considers a family of autoregressive processes with marginal distributions resembling the Cantor function. It is shown that the marginal distribution is in the domain of attraction of a max-semistable distribution. The main result is that
Externí odkaz:
http://arxiv.org/abs/2408.17058
Autor:
Barczy, Matyas, Kern, Peter
We study H\"older continuity, $p^\mathrm{th}$-variation function and Riesz variation of Weierstrass-type functions along a sequence of $b$-adic partitions, where $b>1$ is an integer. By a Weierstrass-type function, we mean that in the definition of t
Externí odkaz:
http://arxiv.org/abs/2407.09229
Autor:
Dey, Partha S., Kim, Daesung
We consider the Ising Curie-Weiss model on the complete graph constrained under a given $\ell^{p}$ norm for some $p>0$. For $p=\infty$, it reduces to the classical Ising Curie-Weiss model. We prove that for all $p>2$, there exists $\beta_{c}(p)$ such
Externí odkaz:
http://arxiv.org/abs/2407.04875
We study the Fleming--Viot particle system in a discrete state space, in the regime of a fast selection mechanism, namely with killing rates which grow to infinity. This asymptotics creates a time scale separation which results in the formation of a
Externí odkaz:
http://arxiv.org/abs/2407.02054
Autor:
Louidor, Oren, Saglietti, Santiago
We consider a continuous time simple random walk on a subset of the square lattice with wired boundary conditions: the walk transitions at unit edge rate on the graph obtained from the lattice closure of the subset by contracting the boundary into on
Externí odkaz:
http://arxiv.org/abs/2406.11034