Titlebook: Computation and Combinatorics in Dynamics, Stochastics and Control; The Abel Symposium, Elena Celledoni,Giulia Di Nunno,Hans Zanna Munthe-

integrated

Stress-Inducible Cellular Responses expansion allows to highlight other phenomena: in our case, regularisation by noise in linear transport. Finally we comment about other application of these ideas to fully-nonlinear conservations laws and other PDEs.

CULP

Computation and Combinatorics in Dynamics, Stochastics and Control978-3-030-01593-0Series ISSN 2193-2808 Series E-ISSN 2197-8549

IRK

aphasia

W. B. Pratt,U. Gehring,D. O. Toft then coordinate rings of the infinite-dimensional affine varieties consisting of series of trees, resp. Lie series of ordered trees. Furthermore we describe the Hopf algebras which are coordinate rings of the automorphism groups of these varieties, which govern the substitution law in pre- and post-Lie algebras.

顛簸地移動

Stress-Inducible Cellular Responsesost-Lie algebras associated to representations of a particular solvable Lie algebra. We first construct the extension of the magmatic product of a post-Lie algebra to its enveloping algebra, which allows to describe free post-Lie algebras and is widely used to obtain the enveloping of . and its dual.

jaunty

Stress-Inducible Cellular Responsesal Brownian motion with Hurst parameter . in the space variable. We derive the Wiener chaos expansion of the solution and a Feynman-Kac formula for the moments of the solution. These results allow us to establish sharp lower and upper asymptotic bounds for the .th moment of the solution.

颶風

Breach

Springer Nature Switzerland AG 2018

粉筆

Continuous-Time Autoregressive Moving-Average Processes in Hilbert Space,onsider Lévy processes in Hilbert space. We provide the basic definitions, show relevant properties of these processes and establish the equivalents of CARMA processes on the real line. Finally, CARMA processes in Hilbert space are linked to the stochastic wave equation and functional autoregressive processes.

Generator

Pre- and Post-Lie Algebras: The Algebro-Geometric View, then coordinate rings of the infinite-dimensional affine varieties consisting of series of trees, resp. Lie series of ordered trees. Furthermore we describe the Hopf algebras which are coordinate rings of the automorphism groups of these varieties, which govern the substitution law in pre- and post-Lie algebras.