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Open Quantum Systems Decoherence

Regularity of multiplicative processes on infinite-dimensional Lie groups

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Authors: Anita Behme, Markus Riedle, Shend Thaqi

Year

2026

Paper ID

56404

Status

Peer-reviewed

Abstract Read

~2 min

Abstract Words

72

Citations

0

Abstract

This paper studies regularity properties of multiplicative stochastic processes on infinite-dimensional Lie groups. We investigate conditions under which these processes admit càdlàg modifications and derive bounds on their local behavior. Our approach builds on the local equivalence of Banach–Lie groups and Banach spaces via the exponential and logarithm, allowing us to transfer analytic estimates and structural results. To illustrate our findings, we consider multiplicative processes on the Heisenberg group.

Why This Paper Matters

  • This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
  • It adds a 2026 reference point for readers tracking recent quantum research.
  • This paper studies regularity properties of multiplicative stochastic processes on infinite-dimensional Lie groups.

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References & Citation Signals

[1] DOI https://doi.org/10.1142/s0219025726500037 [2] Publisher https://doi.org/10.1142/s0219025726500037

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Current Paper #56404

External citation index: OpenAlex citation signal • updated 2026-10-21 03:03:15

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