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63 papers · 1 filter
The Expectation of a Multiplicative Functional under the Sine-Process
Alexander I. Bufetov
An explicit expression for the expected value of a regularized multiplicative functional under the sine-process is obtained by passing to the scaling limit in the Borodin-Okounkov-…
A SIR epidemic model on a refining spatial grid II-Central limit theorem
Thierry Gallouët, Etienne Pardoux, Ténan Yeo
A stochastic SIR epidemic model taking into account the heterogeneity of the spatial environment is constructed. The deterministic model is given by a partial differential equation…
Higher-spin symmetry in the boundary Toda conformal field theory I: Ward identities
Baptiste Cerclé, Nathan Huguenin
This article is the first of a two-part series dedicated to studying the symmetries enjoyed by the probabilistic construction of the boundary Toda Conformal Field…
On the intersection of critical percolation clusters and other tree-like random graphs
Amine Asselah, Bruno Schapira
We study intersection properties of two or more independent tree-like random graphs. Our setting encompasses critical, possibly long range, Bernoulli percolation clusters, incipien…
A Characteristic Mapping Method with Source Terms: Applications to Ideal Magnetohydrodynamics
Xi-Yuan Yin, Philipp Krah, Jean-Christophe Nave +1
This work introduces a generalized characteristic mapping method designed to handle non-linear advection with source terms. The semi-Lagrangian approach advances the flow map, inco…
K-stability of pointless del Pezzo surfaces and Fano 3-folds
Hamid Abban, Ivan Cheltsov, Takashi Kishimoto +1
We explore connections between existence of -rational points for Fano varieties defined over , a subfield of , and existence of Kähler-Einstein metrics on…