Noncommutative Brownian motion in monotone Fock space
From MaRDI portal
Publication:1357602
DOI10.1007/s002200050043zbMath0874.60075OpenAlexW2042374721MaRDI QIDQ1357602
Publication date: 2 November 1997
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/euclid.cmp/1158328657
Brownian motion (60J65) Free probability and free operator algebras (46L54) Quantum stochastic calculus (81S25)
Related Items
Non-commutative stochastic independence and cumulants ⋮ From discrete to continuous monotone C*-algebras via quantum central limit theorems ⋮ Quantum walk in terms of quantum Bernoulli noise and quantum central limit theorem for quantum Bernoulli noise ⋮ Meixner class of orthogonal polynomials of a non-commutative monotone Lévy noise ⋮ THE FIVE INDEPENDENCES AS QUASI-UNIVERSAL PRODUCTS ⋮ Anyonic Fock Spaces, q-CCR Relations for $$|q|\;=\;1$$ and Relations with Yang–Baxter Operators ⋮ MONOTONE INDEPENDENCE, COMB GRAPHS AND BOSE–EINSTEIN CONDENSATION ⋮ Semigroups of distributions with linear Jacobi parameters ⋮ The chordal Loewner equation and monotone probability theory ⋮ CP-semigroups and dilations, subproduct systems and superproduct systems: the multi-parameter case and beyond ⋮ Extended de Finetti theorems for boolean independence and monotone independence ⋮ BM-CENTRAL LIMIT THEOREMS FOR POSITIVE DEFINITE REAL SYMMETRIC MATRICES ⋮ V-monotone independence ⋮ NONCOMMUTATIVE BROWNIAN MOTIONS ASSOCIATED WITH KESTEN DISTRIBUTIONS AND RELATED POISSON PROCESSES ⋮ Distributions for nonsymmetric monotone and weakly monotone position operators ⋮ MONOTONE CONVOLUTION AND MONOTONE INFINITE DIVISIBILITY FROM COMPLEX ANALYTIC VIEWPOINT ⋮ CONSTRUCTIVE UNIVERSAL CENTRAL LIMIT THEOREMS BASED ON INTERACTING FOCK SPACES ⋮ A SIMPLE PROOF FOR MONOTONE CLT ⋮ THE FIVE INDEPENDENCES AS NATURAL PRODUCTS ⋮ Schoenberg correspondence on dual groups ⋮ bm-INDEPENDENCE AND bm-CENTRAL LIMIT THEOREMS ASSOCIATED WITH SYMMETRIC CONES ⋮ Loewner's differential equation and spidernets ⋮ A Lévy-Ciesielski Expansion for Quantum Brownian Motion and the Construction of Quantum Brownian Bridges ⋮ NONCOMMUTATIVE BROWNIAN MOTIONS INDEXED BY PARTIALLY ORDERED SETS ⋮ MONOTONIC INDEPENDENCE ON THE WEAKLY MONOTONE FOCK SPACE AND RELATED POISSON TYPE THEOREM ⋮ Operator-valued chordal Loewner chains and non-commutative probability ⋮ MONOTONIC INDEPENDENCE, MONOTONIC CENTRAL LIMIT THEOREM AND MONOTONIC LAW OF SMALL NUMBERS ⋮ MONOTONE INDEPENDENCE IS ASSOCIATIVE ⋮ bm-Central Limit Theorems associated with non-symmetric positive cones ⋮ ASYMPTOTIC SPECTRAL ANALYSIS OF A GENERALIZED N-CUBE BY A QUANTUM PROBABILISTIC METHOD ⋮ Monotone and boolean unitary Brownian motions ⋮ Quantum Lévy processes on dual groups ⋮ Monotone increment processes, classical Markov processes, and Loewner chains ⋮ An operad of non-commutative independences defined by trees ⋮ MONOTONIC INDEPENDENCE ASSOCIATED WITH PARTIALLY ORDERED SETS ⋮ Algebraic central limit theorems: A personal view on one of Wilhelm’s legacies