Matches in SemOpenAlex for { <https://semopenalex.org/work/W2997448457> ?p ?o ?g. }
- W2997448457 abstract "Products of $M$ i.i.d. non-Hermitian random matrices of size $N times N$ relate Gaussian fluctuation of Lyapunov and stability exponents in dynamical systems (finite $N$ and large $M$) to local eigenvalue universality in random matrix theory (finite $M$ and large $N$). The remaining task is to study local eigenvalue statistics as $M$ and $N$ tend to infinity simultaneously, which lies at the heart of understanding two kinds of universal patterns. For products of i.i.d. complex Ginibre matrices, truncated unitary matrices and spherical ensembles, as $M+Nto infty$ we prove that local statistics undergoes a transition when the relative ratio $M/N$ changes from $0$ to $infty$: Ginibre statistics when $M/N to 0$, normality when $M/Nto infty$, and new critical phenomena when $M/Nto gamma in (0, infty)$." @default.
- W2997448457 created "2020-01-10" @default.
- W2997448457 creator A5086888680 @default.
- W2997448457 creator A5087563479 @default.
- W2997448457 date "2019-12-26" @default.
- W2997448457 modified "2023-09-27" @default.
- W2997448457 title "Phase transitions for infinite products of large non-Hermitian random matrices" @default.
- W2997448457 cites W1160897469 @default.
- W2997448457 cites W1552209861 @default.
- W2997448457 cites W1675320962 @default.
- W2997448457 cites W1813708725 @default.
- W2997448457 cites W1963681381 @default.
- W2997448457 cites W1965159217 @default.
- W2997448457 cites W1978143337 @default.
- W2997448457 cites W1978864992 @default.
- W2997448457 cites W1989491420 @default.
- W2997448457 cites W1994771313 @default.
- W2997448457 cites W1998731194 @default.
- W2997448457 cites W2022449909 @default.
- W2997448457 cites W2042765770 @default.
- W2997448457 cites W2061057735 @default.
- W2997448457 cites W2063361547 @default.
- W2997448457 cites W2066904644 @default.
- W2997448457 cites W2072184935 @default.
- W2997448457 cites W2075947579 @default.
- W2997448457 cites W2080059175 @default.
- W2997448457 cites W2085871147 @default.
- W2997448457 cites W2086605818 @default.
- W2997448457 cites W2102591969 @default.
- W2997448457 cites W2119842426 @default.
- W2997448457 cites W2120062331 @default.
- W2997448457 cites W2138347828 @default.
- W2997448457 cites W2170706425 @default.
- W2997448457 cites W2491160177 @default.
- W2997448457 cites W2785470037 @default.
- W2997448457 cites W2894367105 @default.
- W2997448457 cites W2904889436 @default.
- W2997448457 cites W2905541363 @default.
- W2997448457 cites W2963046116 @default.
- W2997448457 cites W2963412099 @default.
- W2997448457 cites W2963434281 @default.
- W2997448457 cites W2963758851 @default.
- W2997448457 cites W2963827390 @default.
- W2997448457 cites W2964033018 @default.
- W2997448457 cites W2972351573 @default.
- W2997448457 cites W2972939003 @default.
- W2997448457 cites W2974069504 @default.
- W2997448457 cites W2977503922 @default.
- W2997448457 cites W3088369601 @default.
- W2997448457 cites W3099478183 @default.
- W2997448457 cites W3100096537 @default.
- W2997448457 cites W3100365135 @default.
- W2997448457 cites W3101114036 @default.
- W2997448457 cites W3103136801 @default.
- W2997448457 cites W3103550897 @default.
- W2997448457 cites W3104998235 @default.
- W2997448457 cites W3105472625 @default.
- W2997448457 cites W577565880 @default.
- W2997448457 cites W63658591 @default.
- W2997448457 cites W84515655 @default.
- W2997448457 cites W2963289932 @default.
- W2997448457 hasPublicationYear "2019" @default.
- W2997448457 type Work @default.
- W2997448457 sameAs 2997448457 @default.
- W2997448457 citedByCount "1" @default.
- W2997448457 countsByYear W29974484572020 @default.
- W2997448457 crossrefType "posted-content" @default.
- W2997448457 hasAuthorship W2997448457A5086888680 @default.
- W2997448457 hasAuthorship W2997448457A5087563479 @default.
- W2997448457 hasConcept C114614502 @default.
- W2997448457 hasConcept C11902944 @default.
- W2997448457 hasConcept C121332964 @default.
- W2997448457 hasConcept C149288129 @default.
- W2997448457 hasConcept C158622935 @default.
- W2997448457 hasConcept C158693339 @default.
- W2997448457 hasConcept C163716315 @default.
- W2997448457 hasConcept C17744445 @default.
- W2997448457 hasConcept C183992945 @default.
- W2997448457 hasConcept C191544260 @default.
- W2997448457 hasConcept C199539241 @default.
- W2997448457 hasConcept C202444582 @default.
- W2997448457 hasConcept C33923547 @default.
- W2997448457 hasConcept C37914503 @default.
- W2997448457 hasConcept C62520636 @default.
- W2997448457 hasConcept C64812099 @default.
- W2997448457 hasConcept C67820243 @default.
- W2997448457 hasConcept C94940 @default.
- W2997448457 hasConcept C96214315 @default.
- W2997448457 hasConceptScore W2997448457C114614502 @default.
- W2997448457 hasConceptScore W2997448457C11902944 @default.
- W2997448457 hasConceptScore W2997448457C121332964 @default.
- W2997448457 hasConceptScore W2997448457C149288129 @default.
- W2997448457 hasConceptScore W2997448457C158622935 @default.
- W2997448457 hasConceptScore W2997448457C158693339 @default.
- W2997448457 hasConceptScore W2997448457C163716315 @default.
- W2997448457 hasConceptScore W2997448457C17744445 @default.
- W2997448457 hasConceptScore W2997448457C183992945 @default.
- W2997448457 hasConceptScore W2997448457C191544260 @default.
- W2997448457 hasConceptScore W2997448457C199539241 @default.
- W2997448457 hasConceptScore W2997448457C202444582 @default.