Zobrazeno 1 - 10
of 117
pro vyhledávání: '"Benjamin D. Miller"'
Publikováno v:
Forum of Mathematics, Sigma, Vol 9 (2021)
We show that there is a Borel graph on a standard Borel space of Borel chromatic number three that admits a Borel homomorphism to every analytic graph on a standard Borel space of Borel chromatic number at least three. Moreover, we characterize the B
Externí odkaz:
https://doaj.org/article/8336bca9a7ec4ae989d5494169cc1420
Autor:
Benjamin D. Miller
Publikováno v:
Journal of Mathematical Logic. 22
We generalize the [Formula: see text] dichotomy to doubly-indexed sequences of analytic digraphs. Under a mild definability assumption, we use this generalization to characterize the family of Borel actions of tsi Polish groups on Polish spaces that
Autor:
Benjamin D. Miller, Raphaël Carroy
We use variants of the $\mathbb{G}_0$ dichotomy to establish a refinement of Solecki's basis theorem for the family of Baire-class one functions which are not $\sigma$-continuous with closed witnesses.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::549e7c5637412d9dad0c0385bcc3b110
http://arxiv.org/abs/2002.09984
http://arxiv.org/abs/2002.09984
Autor:
Clinton T. Conley, Benjamin D. Miller
We show that every basis for the countable Borel equivalence relations strictly above $\mathbb{E}_0$ under measure reducibility is uncountable, thereby ruling out natural generalizations of the Glimm-Effros dichotomy. We also push many known results
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b0b668b7f71f78951ff969b094c5db89
http://arxiv.org/abs/2002.09655
http://arxiv.org/abs/2002.09655
We show that recurrence conditions do not yield invariant Borel probability measures in the descriptive set-theoretic milieu, in the strong sense that if a Borel action of a locally compact Polish group on a standard Borel space satisfies such a cond
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b41a1c2392744a33ca32e3785fed22d2
http://arxiv.org/abs/2002.09308
http://arxiv.org/abs/2002.09308
Autor:
Benjamin D. Miller
We show that a natural generalization of compressibility is the sole obstruction to the existence of a cocycle-invariant Borel probability measure.
Comment: To appear in Ergodic Theory in Dynamical Systems
Comment: To appear in Ergodic Theory in Dynamical Systems
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e0475bfcaf3f6399da229773f1487ce5
We show that several dichotomy theorems concerning the second level of the Borel hierarchy are special cases of the $\aleph_0$-dimensional generalization of the open graph dichotomy, which itself follows from the usual proof(s) of the perfect set the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0b6397df8067b0a6b929d34289c0a88d
http://hdl.handle.net/2318/1793434
http://hdl.handle.net/2318/1793434
We show that Li-Yorke chaos ensures the existence of a scrambled Cantor set.
Comment: We have added several references in an attempt to better motivate our main result and clarify its relationship to previous work, and shifted the focus of the p
Comment: We have added several references in an attempt to better motivate our main result and clarify its relationship to previous work, and shifted the focus of the p
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fb2ed6c2b2255919f7b162b12611cb41
Autor:
Benjamin D. Miller, Raphaël Carroy
We provide a finite basis for the class of Borel functions that are not in the first Baire class, as well as the class of Borel functions that are not $\sigma $ -continuous with closed witnesses.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2698a30ee6bb9ba7d536f3d6b0f3cbfe
http://hdl.handle.net/2318/1793429
http://hdl.handle.net/2318/1793429
Publikováno v:
Agricultural and Forest Meteorology. :108347
Tropical forests have evolved under relatively narrow temperature regimes, and therefore may be more susceptible to climatic change than forests in higher latitudes. Recent evidence shows that lowland tropical forest canopies may already be exceeding