Browsing 1 - Oberwolfach Preprints (OWP) by MSC "60"
Now showing items 1-13 of 13
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Central Limit Theorems for the Radial Spanning Tree
[OWP-2014-18] (Mathematisches Forschungsinstitut Oberwolfach, 2014)Consider a homogeneous Poisson point process in a compact convex set in d-dimensional Euclidean space which has interior points and contains the origin. The radial spanning tree is constructed by connecting each point of ... -
Contractive Idempotents on Locally Compact Quantum Groups
[OWP-2012-19] (Mathematisches Forschungsinstitut Oberwolfach, 2012)A general form of contractive idempotent functionals on coamenable locally compact quantum groups is obtained, generalising the result of Greenleaf on contractive measures on locally compact groups. The image of a convolution ... -
Global Solutions to Stochastic Wave Equations with Superlinear Coefficients
[OWP-2019-26] (Mathematisches Forschungsinstitut Oberwolfach, 2019-11-13)We prove existence and uniqueness of a random field solution $(u(t,x);(t,x)\in [0,T]\times \mathbb{R}^d)$ to a stochastic wave equation in dimensions $d=1,2,3$ with diffusion and drift coefficients of the form $|x| ... -
Local asymptotics for the area of random walk excursions
[OWP-2013-19] (Mathematisches Forschungsinstitut Oberwolfach, 2013-09-05)We prove a local limit theorem for the area of the positive exursion of random walks with zero mean and finite variance. Our main result complements previous work of Caravenna and Chaumont, Sohier, as well as ... -
Max-Linear Models on Infinite Graphs Generated by Bernoulli Bond Percolation
[OWP-2018-09] (Mathematisches Forschungsinstitut Oberwolfach, 2018-05-17)We extend previous work of max-linear models on finite directed acyclic graphs to infinite graphs, and investigate their relations to classical percolation theory. We formulate results for the oriented square lattice graph ... -
On the prediction of stationary functional time series
[OWP-2014-06] (Mathematisches Forschungsinstitut Oberwolfach, 2014-04-25)This paper addresses the prediction of stationary functional time series. Existing contributions to this problem have largely focused on the special case of first-order functional autoregressive processes because of their ... -
Positive Margins and Primary Decomposition
[OWP-2012-06] (Mathematisches Forschungsinstitut Oberwolfach, 2012)We study random walks on contingency tables with fixed marginals, corresponding to a (log-linear) hierarchical model. If the set of allowed moves is not a Markov basis, then there exist tables with the same marginals that ... -
Quasi-Equilibria and Click Times for a Variant of Muller's Ratchet
[OWP-2022-18] (Mathematisches Forschungsinstitut Oberwolfach, 2022-11-30)Consider a population of $N$ individuals, each of them carrying a type in $\mathbb N_0$. The population evolves according to a Moran dynamics with selection and mutation, where an individual of type $k$ has the same selective ... -
Sharp constants in the classical weak form of the John-Nirenberg inequality
[OWP-2013-07] (Mathematisches Forschungsinstitut Oberwolfach, 2013-03-14)The sharp constants in the classical John-Nirenberg inequality are found by using Bellman function approach. -
Space-Time Euler Discretization Schemes for the Stochastic 2D Navier-Stokes Equations
[OWP-2020-12] (Mathematisches Forschungsinstitut Oberwolfach, 2020-05-06)We prove that the implicit time Euler scheme coupled with finite elements space discretization for the 2D Navier-Stokes equations on the torus subject to a random perturbation converges in $L^2(\Omega)$, and describe the ... -
Stein's method for dependent random variables occuring in statistical mechanics
[OWP-2009-09] (Mathematisches Forschungsinstitut Oberwolfach, 2009-03-03)We obtain rates of convergence in limit theorems of partial sums $S_n$ for certain sequences of dependent, identically distributed random variables, which arise naturally in statistical mechanics, in particular, in the ... -
Theoretical Analysis and Simulation Methods for Hawkes Processes and their Diffusion Approximation
[OWP-2020-09] (Mathematisches Forschungsinstitut Oberwolfach, 2020-03-30)Oscillatory systems of interacting Hawkes processes with Erlang memory kernels were introduced in Ditlevsen and Löcherbach (2017). They are piecewise deterministic Markov processes (PDMP) and can be approximated by a ... -
Torsion-free Covers of Solvable Minimax Groups
[OWP-2015-15] (Mathematisches Forschungsinstitut Oberwolfach, 2015-11-18)We prove that every finitely generated solvable minimax group can be realized as a quotient of a torsion-free solvable minimax group. This result has an application to the investigation of random walks on finitely generated ...