The chordal Loewner equation and monotone probability theory

DOI10.1142/S0219025717500163zbMath1376.30004arXiv1605.06689OpenAlexW2963417396MaRDI QIDQ4588363

Sebastian Schleißinger

Publication date: 26 October 2017

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.06689

zbMATH Keywords

chordal Loewner equationevolution familiesnon-commutative probabilityquantum processes

Mathematics Subject Classification ID

General theory of conformal mappings (30C35) Noncommutative probability and statistics (46L53) General theory of univalent and multivalent functions of one complex variable (30C55) Stochastic (Schramm-)Loewner evolution (SLE) (60J67)

Related Items (4)

Tightness results for infinite-slit limits of the chordal Loewner equation ⋮ Loewner's differential equation and spidernets ⋮ Operator-valued chordal Loewner chains and non-commutative probability ⋮ Monotone increment processes, classical Markov processes, and Loewner chains

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Backward SLE and the symmetry of the welding
• Generators of some non-commutative stochastic processes
• Collisions and spirals of Loewner traces
• The evolution of Loewner's differential equations
• Multiplicative monotonic convolution
• Decompositions of the free additive convolution
• A new example of `independence' and `white noise'
• Addition of freely independent random variables
• The analogues of entropy and of Fisher's information measure in free probability theory. I
• Noncommutative Brownian motion in monotone Fock space
• Processes with free increments
• Unification of Boolean, monotone, anti-monotone, and tensor independence and Lévy processes
• Löwner's equation from a noncommutative probability perspective
• The monotone cumulants
• Normal families
• A fast algorithm for simulating the chordal Schramm-Loewner evolution
• THE FIVE INDEPENDENCES AS NATURAL PRODUCTS
• Chordal Loewner Equation
• Convergence of an algorithm simulating Loewner curves
• The free creation and annihilation operators as the central limit of the quantum Bernoulli process
• The Loewner differential equation and slit mappings
• Local duality in Loewner equations

This page was built for publication: The chordal Loewner equation and monotone probability theory