Oxford Mathematician James Maynard has been elected Fellow of the Royal Society (FRS) for his outstanding contributions to science.
The fully compressed subgroup membership problem
Linton, M
(19 Oct 2021)
http://arxiv.org/abs/2110.10055v2
One-relator hierarchies
Linton, M
(23 Feb 2022)
http://arxiv.org/abs/2202.11324v3
Hyperbolic one-relator groups
Linton, M
(08 Nov 2022)
http://arxiv.org/abs/2211.04371v1
On the coherence of one-relator groups and their group algebras
Jaikin-Zapirain, A
Linton, M
(10 Mar 2023)
http://arxiv.org/abs/2303.05976v3
Quantum leakage detection using a model-independent dimension witness
Strikis, A
Datta, A
Knee, G
(13 Nov 2018)
http://arxiv.org/abs/1811.05220v3
Learning-based quantum error mitigation
Strikis, A
Qin, D
Chen, Y
Benjamin, S
Li, Y
(15 May 2020)
http://arxiv.org/abs/2005.07601v2
Quantum computing is scalable on a planar array of qubits with
fabrication defects
Strikis, A
Benjamin, S
Brown, B
(11 Nov 2021)
http://arxiv.org/abs/2111.06432v3
fabrication defects
Quantum LDPC Codes for Modular Architectures
Strikis, A
Berent, L
(28 Sep 2022)
http://arxiv.org/abs/2209.14329v3
Tue, 16 May 2023
14:00 -
15:00
L5
Thresholds: from small p regime to general
Tomasz Przybyłowski
(University of Oxford)
Abstract
Let $p_c$ and $q_c$ be the threshold and the expectation threshold, respectively, of an increasing family $F$ of subsets of a finite set $X$. Recently, Park and Pham proved Kahn–Kalai conjecture stating that a not-too-large multiple of $q_c$ is an upper bound on $p_c$. In the talk, I will present a slight improvement to the Park–Pham theorem, which is obtained from transferring the threshold result from the small $p$ regime to general $p$. Based on joint work with Oliver Riordan.