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   Universal radial limits of meromorphic functions in the unit diskMeyrath, Thierry  in Comptes Rendus. Mathématique (2022), 360 We consider the space of meromorphic functions in the unit disk $\D$ and show that there exists a dense $G_{\delta}$-subset of functions having universal radial limits. Our results complement known ... [more ▼] We consider the space of meromorphic functions in the unit disk $\D$ and show that there exists a dense $G_{\delta}$-subset of functions having universal radial limits. Our results complement known statements about holomorphic functions and further imply the existence of meromorphic functions having maximal cluster sets along certain subsets of $\D$. [less ▲] Detailed reference viewed: 21 (1 UL) Asymptotic variance for the number of zeros of Kostlan Shub Smale random polynomials.Dalmao, Federico in Comptes Rendus. Mathématique (2015), 353(12), 1141-1145 n this note, we find the asymptotic main term of the variance of the number of roots of Kostlan–Shub–Smale random polynomials and prove a central limit theorem for this number of roots as the degree goes ... [more ▼] n this note, we find the asymptotic main term of the variance of the number of roots of Kostlan–Shub–Smale random polynomials and prove a central limit theorem for this number of roots as the degree goes to infinity. [less ▲] Detailed reference viewed: 145 (14 UL)A refinement of a conjecture of QuillenRahm, Alexander ; in Comptes Rendus. Mathématique (2015), 353(9), 779--784 Detailed reference viewed: 176 (8 UL)An entropy formula relating Hamiltonʼs surface entropy and Perelmanʼs W entropyGuo, Hongxin in Comptes Rendus. Mathématique (2013), 351(3-4), 115-118 In this note, based on Hamiltonʼs surface entropy formula, we construct an entropy formula of Perelmanʼs type for the Ricci flow on a closed surface with positive curvature. Similar to Perelmanʼs WW ... [more ▼] In this note, based on Hamiltonʼs surface entropy formula, we construct an entropy formula of Perelmanʼs type for the Ricci flow on a closed surface with positive curvature. Similar to Perelmanʼs WW entropy, the critical point of our entropy is the gradient shrinking soliton; however, there is no conjugate heat equation involved. This shows a close relation between Hamiltonʼs entropy and Perelmanʼs W entropy on closed surfaces. [less ▲] Detailed reference viewed: 69 (2 UL)$S$-adic conjecture and Bratteli diagrams; Leroy, Julien in Comptes Rendus. Mathématique (2012), 350(21-22), 979--983 Detailed reference viewed: 159 (2 UL)On a question of SerreRahm, Alexander in Comptes Rendus. Mathématique (2012), 350(15-16), 741--744 Detailed reference viewed: 136 (4 UL)Specialization of monodromy group and l-independenceHui, Chun Yin in Comptes Rendus. Mathématique (2012) Detailed reference viewed: 48 (0 UL)Homology and $K$-theory of the Bianchi groupsRahm, Alexander in Comptes Rendus. Mathématique (2011), 349(11-12), 615--619 Detailed reference viewed: 141 (5 UL)Parametrization of abelian $K$-surfaces with quaternionic multiplication; Molina Blanco, Santiago in Comptes Rendus. Mathématique (2009), 347(23-24), 1325--1330 Detailed reference viewed: 96 (0 UL)Brownian motion with respect to a metric depending on time: definition, existence and applications to Ricci flow; ; Thalmaier, Anton in Comptes Rendus. Mathématique (2008), 346(13-14), 773-778 Detailed reference viewed: 314 (8 UL)Le problème des diviseurs de zéro pour les groupes de Lie nilpotents; ; Molitor-Braun, Carine in Comptes Rendus. Mathématique (2006), 342(6), 399-404 Detailed reference viewed: 93 (0 UL)Geometrization of Monte-Carlo numerical analysis of an elliptic operator: strong approximation; ; Thalmaier, Anton in Comptes Rendus. Mathématique (2004), 338(6), 481-486 Detailed reference viewed: 236 (1 UL)Hoeffding decompositions for exchangeable sequences and chaotic representation of functionals of Dirichlet processesPeccati, Giovanni in Comptes Rendus. Mathématique (2003), 336(10), 845--850 Detailed reference viewed: 169 (0 UL)A Bismut type formula for the Hessian of heat semigroups; ; Thalmaier, Anton in Comptes Rendus. Mathématique (2003), 336(8), 661-666 Detailed reference viewed: 268 (6 UL)Numerical error for SDE: asymptotic expansion and hyperdistributions; Thalmaier, Anton in Comptes Rendus. Mathématique (2003), 336(10), 851-856 Detailed reference viewed: 249 (4 UL) Utilisation des modules elliptiques de Drinfeld en cryptologie; Leprévost, Franck ; et alin Comptes Rendus. Mathématique (2003), 336(11), 879-882 Detailed reference viewed: 61 (0 UL)Support of Virasoro unitarizing measures; ; Thalmaier, Anton in Comptes Rendus. Mathématique (2002), 335(7), 621-626 Detailed reference viewed: 254 (4 UL) |
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