---
_id: '65146'
abstract:
- lang: eng
  text: "<jats:title>Abstract</jats:title>\r\n                  <jats:p>We consider
    Brownian motion with partial resetting, which has recently attracted a lot of
    attention in physics as well as the mathematics literature. We analyze the speed
    of convergence of this process towards stationarity as well as its quasistationary
    behavior. In particular, we prove the existence of a Yaglom limit and hence of
    a minimal quasistationary distribution. We use these results to study our main
    topic, namely the process conditioned on staying positive using methods which
    are well adapted to this specific process. It turns out that this process can
    be described explicitly as a three‐dimensional Bessel process with partial resetting
    with the same parameter but a modified resetting rate. This can be interpreted
    as an effect due to entropic repulsion.</jats:p>"
article_number: e70314
author:
- first_name: Martin
  full_name: Kolb, Martin
  last_name: Kolb
- first_name: Achim
  full_name: Wübker, Achim
  last_name: Wübker
citation:
  ama: Kolb M, Wübker A. Brownian Motion With Partial Resetting Conditioned to Stay
    Positive. <i>Bulletin of the London Mathematical Society</i>. 2026;58(3). doi:<a
    href="https://doi.org/10.1112/blms.70314">10.1112/blms.70314</a>
  apa: Kolb, M., &#38; Wübker, A. (2026). Brownian Motion With Partial Resetting Conditioned
    to Stay Positive. <i>Bulletin of the London Mathematical Society</i>, <i>58</i>(3),
    Article e70314. <a href="https://doi.org/10.1112/blms.70314">https://doi.org/10.1112/blms.70314</a>
  bibtex: '@article{Kolb_Wübker_2026, title={Brownian Motion With Partial Resetting
    Conditioned to Stay Positive}, volume={58}, DOI={<a href="https://doi.org/10.1112/blms.70314">10.1112/blms.70314</a>},
    number={3e70314}, journal={Bulletin of the London Mathematical Society}, publisher={Wiley},
    author={Kolb, Martin and Wübker, Achim}, year={2026} }'
  chicago: Kolb, Martin, and Achim Wübker. “Brownian Motion With Partial Resetting
    Conditioned to Stay Positive.” <i>Bulletin of the London Mathematical Society</i>
    58, no. 3 (2026). <a href="https://doi.org/10.1112/blms.70314">https://doi.org/10.1112/blms.70314</a>.
  ieee: 'M. Kolb and A. Wübker, “Brownian Motion With Partial Resetting Conditioned
    to Stay Positive,” <i>Bulletin of the London Mathematical Society</i>, vol. 58,
    no. 3, Art. no. e70314, 2026, doi: <a href="https://doi.org/10.1112/blms.70314">10.1112/blms.70314</a>.'
  mla: Kolb, Martin, and Achim Wübker. “Brownian Motion With Partial Resetting Conditioned
    to Stay Positive.” <i>Bulletin of the London Mathematical Society</i>, vol. 58,
    no. 3, e70314, Wiley, 2026, doi:<a href="https://doi.org/10.1112/blms.70314">10.1112/blms.70314</a>.
  short: M. Kolb, A. Wübker, Bulletin of the London Mathematical Society 58 (2026).
date_created: 2026-03-26T12:43:25Z
date_updated: 2026-03-26T12:43:45Z
doi: 10.1112/blms.70314
intvolume: '        58'
issue: '3'
language:
- iso: eng
publication: Bulletin of the London Mathematical Society
publication_identifier:
  issn:
  - 0024-6093
  - 1469-2120
publication_status: published
publisher: Wiley
status: public
title: Brownian Motion With Partial Resetting Conditioned to Stay Positive
type: journal_article
user_id: '48880'
volume: 58
year: '2026'
...
---
_id: '63141'
author:
- first_name: Henning
  full_name: Krause, Henning
  last_name: Krause
- first_name: Janina Carmen
  full_name: Letz, Janina Carmen
  id: '121953'
  last_name: Letz
  orcid: 0000-0002-5497-8296
citation:
  ama: Krause H, Letz JC. The spectrum of a well-generated tensor-triangulated category.
    <i>Bull Lond Math Soc</i>. 2023;55(2):680-705. doi:<a href="https://doi.org/10.1112/blms.12749">10.1112/blms.12749</a>
  apa: Krause, H., &#38; Letz, J. C. (2023). The spectrum of a well-generated tensor-triangulated
    category. <i>Bull. Lond. Math. Soc.</i>, <i>55</i>(2), 680–705. <a href="https://doi.org/10.1112/blms.12749">https://doi.org/10.1112/blms.12749</a>
  bibtex: '@article{Krause_Letz_2023, title={The spectrum of a well-generated tensor-triangulated
    category}, volume={55}, DOI={<a href="https://doi.org/10.1112/blms.12749">10.1112/blms.12749</a>},
    number={2}, journal={Bull. Lond. Math. Soc.}, author={Krause, Henning and Letz,
    Janina Carmen}, year={2023}, pages={680–705} }'
  chicago: 'Krause, Henning, and Janina Carmen Letz. “The Spectrum of a Well-Generated
    Tensor-Triangulated Category.” <i>Bull. Lond. Math. Soc.</i> 55, no. 2 (2023):
    680–705. <a href="https://doi.org/10.1112/blms.12749">https://doi.org/10.1112/blms.12749</a>.'
  ieee: 'H. Krause and J. C. Letz, “The spectrum of a well-generated tensor-triangulated
    category,” <i>Bull. Lond. Math. Soc.</i>, vol. 55, no. 2, pp. 680–705, 2023, doi:
    <a href="https://doi.org/10.1112/blms.12749">10.1112/blms.12749</a>.'
  mla: Krause, Henning, and Janina Carmen Letz. “The Spectrum of a Well-Generated
    Tensor-Triangulated Category.” <i>Bull. Lond. Math. Soc.</i>, vol. 55, no. 2,
    2023, pp. 680–705, doi:<a href="https://doi.org/10.1112/blms.12749">10.1112/blms.12749</a>.
  short: H. Krause, J.C. Letz, Bull. Lond. Math. Soc. 55 (2023) 680–705.
date_created: 2025-12-16T14:28:26Z
date_updated: 2025-12-16T14:45:52Z
doi: 10.1112/blms.12749
extern: '1'
intvolume: '        55'
issue: '2'
language:
- iso: eng
page: 680-705
publication: Bull. Lond. Math. Soc.
publication_identifier:
  issn:
  - 0024-6093
status: public
title: The spectrum of a well-generated tensor-triangulated category
type: journal_article
user_id: '121953'
volume: 55
year: '2023'
...