[PDF][PDF] Fraïssé limits, Ramsey theory, and topological dynamics of automorphism groups

AS Kechris, VG Pestov, S Todorcevic - arxiv preprint math/0305241, 2003 - arxiv.org
arxiv:math/0305241v4 [math.LO] 24 Jun 2004 Page 1 arxiv:math/0305241v4 [math.LO] 24 Jun
2004 FRAÏSSÉ LIMITS, RAMSEY THEORY, AND TOPOLOGICAL DYNAMICS OF …

[BOOK][B] Global aspects of ergodic group actions

AS Kechris - 2010 - books.google.com
" The subject of this book is the study of ergodic, measure preserving actions of countable
discrete groups on standard probability spaces. It explores a direction that emphasizes a …

Enhancing quantum adversarial robustness by randomized encodings

W Gong, D Yuan, W Li, DL Deng - Physical Review Research, 2024 - APS
The interplay between quantum physics and machine learning gives rise to the emergent
frontier of quantum machine learning, where advanced quantum learning models may …

Vulnerability of quantum classification to adversarial perturbations

N Liu, P Wittek - Physical Review A, 2020 - APS
High-dimensional quantum systems are vital for quantum technologies and are essential in
demonstrating practical quantum advantage in quantum computing, simulation, and …

[PDF][PDF] Orbit equivalence and measured group theory

D Gaboriau - arxiv preprint arxiv:1009.0132, 2010 - arxiv.org
arxiv:1009.0132v1 [math.GR] 1 Sep 2010 Page 1 arxiv:1009.0132v1 [math.GR] 1 Sep 2010
Orbit Equivalence and Measured Group Theory Damien Gaboriau∗ May, 2010 Abstract We …

Robust in practice: Adversarial attacks on quantum machine learning

H Liao, I Convy, WJ Huggins, KB Whaley - Physical Review A, 2021 - APS
State-of-the-art classical neural networks are observed to be vulnerable to small crafted
adversarial perturbations. A more severe vulnerability has been noted for quantum machine …

Universal adversarial examples and perturbations for quantum classifiers

W Gong, DL Deng - National Science Review, 2022 - academic.oup.com
Quantum machine learning explores the interplay between machine learning and quantum
physics, which may lead to unprecedented perspectives for both fields. In fact, recent works …

[BOOK][B] Crossed products of C*-algebras, topological dynamics, and classification

T Giordano, D Kerr, NC Phillips, A Toms - 2018 - Springer
This part of the Advanced Course is meant to introduce the reader to an invariant for C∗-
algebras—the Cuntz semigroup—which has recently come to the forefront of research on …

Metrizable universal minimal flows of Polish groups have a comeagre orbit

I Ben Yaacov, J Melleray, T Tsankov - Geometric and Functional Analysis, 2017 - Springer
METRIZABLE UNIVERSAL MINIMAL FLOWS OF POLISH GROUPS HAVE A COMEAGRE
ORBIT Itaı Ben Yaacov, Julien Melleray and Todor Tsankov Page 1 Geom. Funct. Anal. Vol. 27 …

Fixed point properties for semigroups of nonlinear map**s and amenability

ATM Lau, Y Zhang - Journal of Functional Analysis, 2012 - Elsevier
In this paper we study fixed point properties for semitopological semigroup of nonexpansive
map**s on a bounded closed convex subset of a Banach space. We also study a …