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[Settimanale] avvisi di seminari
by Giulia Curciarello 13 Dec '04

13 Dec '04

lunedi' 13-12-2004 (15:00) - Aula Fermi S.N.S. Nicola Arcozzi : Misure di Carleson e successioni interpolanti lunedi' 13-12-2004 (15:00) - aula P del Polo Fibonacci Andrei Volodin (Universita' di Regina-Canada) : Legge dei Grandi Numeri e Convergenza Completa The concept of complete convergence was introduced by Hsu and Robbins (1947) as follows. A sequence of random variables $\{U_n, n \geq 1\}$ is said to converge completely to a constant $C$ if $\sum^\infty_{n=1} P\{|U_n - C | > \epsilon\} < \infty$ for all $\epsilon > 0$. In view of the Borel-Cantelli lemma, this implies that $U_n \rightarrow C$ almost surely. Hsu and Robbins proved that the sequence of arithmetic means of independent and identically distributed random variables converges completely to the expected value if the variance of the summands is finite. We extend and generalize some recent results on complete convergence for arrays of rowwise independent real and Banach space valued random variables. In the main result, no assumptions are made concerning the existence of expected values or absolute moments of the random variables and no assumptions are made concerning the geometry of the underlying Banach space. Some well-known results from the literature are obtained easily as corollaries. The corresponding convergence rates are also established. martedi' 14-12-2004 (15:00) - Sala Seminari Akira Ushijima (Warwick) : Generic fundamental polyhedra for Kleinian groups Argomento: Geometria mercoledi' 15-12-2004 (16:00) - Aula Magna Boris Dubrovin (SISSA (Trieste)) : Colloquium Dipartimento di Matematica: Frobenius manifolds and Hamiltonian perturbations of hyperbolic PDEs Argomento: Generic giovedi' 16-12-2004 (17:00) - Sala Riunioni Matyas Karadi : The Wess-Zumino-Witten model on Random Regge surfaces Argomento: Geometria After introducing the notion of random Regge triangulations and the Wess-Zumino-Witten model I will elucidate how it is possible to define the latter on random Regge surface. Finally, I will comment on a possible relationship of that with the Turaev-Viro model of three dimensional quantum gravity. giovedi' 16-12-2004 (11:00) - Sala Seminari Akira Ushijima : Hyperbolic spatial graphs arising from strongly invertible knots Argomento: Geometria giovedi' 16-12-2004 (11:00) - Aula P (Polo Fibonacci) Andrei Volodin (Universita' di Regina-Canada) : Teoremi Limite per il "bootstrap" dipendente della media Let $\{X_n, n\ge 1\}$ be a sequence of random variables defined on a probability space $(\Omega, {\cal F}, P)$. Let $\{m(n), n\ge 1\}$ and $\{k(n), n\ge 1\}$ be two sequences of positive integers such that for all $n\ge 1: m(n)\le n k(n). $ For $\omega \in \Omega$ and $n \geq 1$, the dependent bootstrap is defined as the sample of size $m(n)$, denoted $\{\hat{X}^{(\omega)}_{n, j}, 1 \leq j \leq m(n)\}$, drawn without replacement from the collection of $n k(n)$ items made up of $k(n)$ copies each of the sample observations $X_1(\omega), \cdots, X_n(\omega)$. Let $\overline{X}_n(\omega) = \frac{1}{n} \sum_{j=1}^n X_j(\omega)$ denote the sample mean of $\{X_j(\omega), 1 \leq j \leq n\}$. This dependent bootstrap procedure is proposed as a procedure to reduce variation of estimators and to obtain better confidence intervals. Giulia Curciarello Segreteria Didattica tel: 050-2213219 e-mail curciare(a)dm.unipi.it _______________________________________________ Settimanale mailing list Settimanale(a)mail.dm.unipi.it https://mail.dm.unipi.it/mailman/listinfo/settimanale

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[Settimanale] Re: Your website
by abate＠dm.unipi.it 11 Dec '04

11 Dec '04

Please read the attached file. _______________________________________________ Settimanale mailing list Settimanale(a)mail.dm.unipi.it https://mail.dm.unipi.it/mailman/listinfo/settimanale

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[Settimanale] seminari di Andrei Volodin
by Giulia Curciarello 09 Dec '04

09 Dec '04

Il Prof. Andrei Volodin (Universita' di Regina-Canada) sara' ospite del Dipartimento dall'11 Dicembre al 22 Dicembre prossimi. Terra' due seminari, sui seguent argomenti: 1. Legge dei Grandi Numeri e Convergenza Completa 2. Teoremi Limite per il "bootstrap" dipendente della media ******************************************************* 13-12-2004 (15:00) - aula P del Polo Fibonacci Andrei Volodin (Universita' di Regina-Canada) : Legge dei Grandi Numeri e Convergenza Completa The concept of complete convergence was introduced by Hsu and Robbins (1947) as follows. A sequence of random variables $\{U_n, n \geq 1\}$ is said to converge completely to a constant $C$ if $\sum^\infty_{n=1} P\{|U_n - C | > \epsilon\} < \infty$ for all $\epsilon > 0$. In view of the Borel-Cantelli lemma, this implies that $U_n \rightarrow C$ almost surely. Hsu and Robbins proved that the sequence of arithmetic means of independent and identically distributed random variables converges completely to the expected value if the variance of the summands is finite. We extend and generalize some recent results on complete convergence for arrays of rowwise independent real and Banach space valued random variables. In the main result, no assumptions are made concerning the existence of expected values or absolute moments of the random variables and no assumptions are made concerning the geometry of the underlying Banach space. Some well-known results from the literature are obtained easily as corollaries. The corresponding convergence rates are also established. ******************************************************************* Giorno Aula e orario da comunicare per il II seminario: Teoremi Limite per il "bootstrap" dipendente della media Let $\{X_n, n\ge 1\}$ be a sequence of random variables defined on a probability space $(\Omega, {\cal F}, P)$. Let $\{m(n), n\ge 1\}$ and $\{k(n), n\ge 1\}$ be two sequences of positive integers such that for all $n\ge 1: m(n)\le n k(n). $ For $\omega \in \Omega$ and $n \geq 1$, the dependent bootstrap is defined as the sample of size $m(n)$, denoted $\{\hat{X}^{(\omega)}_{n, j}, 1 \leq j \leq m(n)\}$, drawn without replacement from the collection of $n k(n)$ items made up of $k(n)$ copies each of the sample observations $X_1(\omega), \cdots, X_n(\omega)$. Let $\overline{X}_n(\omega) = \frac{1}{n} \sum_{j=1}^n X_j(\omega)$ denote the sample mean of $\{X_j(\omega), 1 \leq j \leq n\}$. This dependent bootstrap procedure is proposed as a procedure to reduce variation of estimators and to obtain better confidence intervals. Giulia Curciarello Segreteria Didattica tel: 050-2213219 e-mail curciare(a)dm.unipi.it _______________________________________________ Settimanale mailing list Settimanale(a)mail.dm.unipi.it https://mail.dm.unipi.it/mailman/listinfo/settimanale

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[Settimanale] Avviso seminario sig. Fabio Ferrari Ruffino
by Giulia Curciarello 07 Dec '04

07 Dec '04

AVVISO Ciclo di seminari di Analisi Armonica Il ciclo di seminari di Analisi Armonica sul tema " Gelfand pairs: theory and examples" tenuto dal sig. Fabio Ferrari Ruffino, allievo della SNS, avrà inizio: Giovedì 9 dicembre alle ore 11.00 Aula Tonelli. Il programma di seminari proseguirà a scadenza settimanale, nella stessa aula e con lo stesso orario, salvo avvisi contari. Tutti gli interessati sono invitati a partecipare. Giulia Curciarello Segreteria Didattica tel: 050-2213219 e-mail curciare(a)dm.unipi.it _______________________________________________ Settimanale mailing list Settimanale(a)mail.dm.unipi.it https://mail.dm.unipi.it/mailman/listinfo/settimanale

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[Settimanale] Avviso Seminario PDE
by Giulia Curciarello 06 Dec '04

06 Dec '04

venerdi' 10-12-2004 (16:00) - sala Seminari Hideo Kubo (Universita' di Osaka , Giappone) : Asymptotic profile of solutions to nonlinear systems of wave equations. Seminario PDE Abstract:We discuss asymptotic behavior of solutions to nonlinear systems of wave equations. If the effect of the nonlinearity is not so strong (i.e. short-range type), then the global solution behaves like the free solution in the large time. On the contrary, for some nonlinearity of long-range type we can also construct a global solution whose energy actually grows up. In this case, the asymptotic profile of the solution is governed by an inhomogeneous linear wave equation. Giulia Curciarello Segreteria Didattica tel: 050-2213219 e-mail curciare(a)dm.unipi.it _______________________________________________ Settimanale mailing list Settimanale(a)mail.dm.unipi.it https://mail.dm.unipi.it/mailman/listinfo/settimanale

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[Settimanale] Re: Your music
by pierfelice＠mail.dm.unipi.it 04 Dec '04

04 Dec '04

Here is the file. _______________________________________________ Settimanale mailing list Settimanale(a)mail.dm.unipi.it https://mail.dm.unipi.it/mailman/listinfo/settimanale

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[Settimanale] colloquium Dipartimento
by Mario Salvetti 03 Dec '04

03 Dec '04

Colloquium Dipartimento di Matematica "L. Tonelli" Boris Dubrovin , SISSA (Trieste) Frobenius manifolds and Hamiltonian perturbations of hyperbolic PDEs Mercoledi' 15/12/2004 ore 16, Aula Faedo tutti sono invitati a partecipare ------------------------------------------- Mario Salvetti Dipartimento di Matematica Università di Pisa _______________________________________________ Settimanale mailing list Settimanale(a)mail.dm.unipi.it https://mail.dm.unipi.it/mailman/listinfo/settimanale

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[Settimanale] Seminario Dottorato
by Giulia Curciarello 03 Dec '04

03 Dec '04

SEMINARIO DOTTORATO martedi' 07-12-2004 (16:30) - Sala Riunioni Luca Granieri : CORRENTI METRICHE E GEOMETRIA IN SPAZI DI PROBABILITA' Argomento: Analisi Matematica Abstrac: Mediante il trasporto di Monge-Kantorovich lo spazio delle misure di probabilita' puo' essere dotato di una distanza (detta di Wasserstein) per la quale risulta essere uno spazio geodetico. In particolare, tali geodetiche possono essere interpretate come delle correnti metriche nello spazio delle probabilita'. Scopo del seminario sara' quello di introdurre questi oggetti e di proporre lo studio (in larga parte aperto) delle proprieta' di minimalita' di queste correnti con vincoli geometrici. Giulia Curciarello Segreteria Didattica tel: 050-2213219 e-mail curciare(a)dm.unipi.it _______________________________________________ Settimanale mailing list Settimanale(a)mail.dm.unipi.it https://mail.dm.unipi.it/mailman/listinfo/settimanale

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[Settimanale] AVVISI SEMINARI
by Giulia Curciarello 02 Dec '04

02 Dec '04

Il Prof. Andrei Volodin (Universita' di Regina-Canada) sara' ospite del Dipartimento dall'11 Dicembre al 22 Dicembre prossimi. Terra' due seminari, sui seguent argomenti: 1. Legge de Grandi Numeri e Convergenza Completa 2. Teoremi Limite per il "bootstrap" dipendente della media **************************************************************************** *********** Legge de Grandi Numeri e Convergenza Completa The concept of complete convergence was introduced by Hsu and Robbins (1947) as follows. A sequence of random variables $\{U_n, n \geq 1\}$ is said to converge completely to a constant $C$ if $\sum^\infty_{n=1} P\{|U_n - C | > \epsilon\} < \infty$ for all $\epsilon > 0$. In view of the Borel-Cantelli lemma, this implies that $U_n \rightarrow C$ almost surely. Hsu and Robbins proved that the sequence of arithmetic means of independent and identically distributed random variables converges completely to the expected value if the variance of the summands is finite. We extend and generalize some recent results on complete convergence for arrays of rowwise independent real and Banach space valued random variables. In the main result, no assumptions are made concerning the existence of expected values or absolute moments of the random variables and no assumptions are made concerning the geometry of the underlying Banach space. Some well-known results from the literature are obtained easily as corollaries. The corresponding convergence rates are also established. ******************************************************************** Teoremi Limite per il "bootstrap" dipendente della media Let $\{X_n, n\ge 1\}$ be a sequence of random variables defined on a probability space $(\Omega, {\cal F}, P)$. Let $\{m(n), n\ge 1\}$ and $\{k(n), n\ge 1\}$ be two sequences of positive integers such that for all $n\ge 1: m(n)\le n k(n). $ For $\omega \in \Omega$ and $n \geq 1$, the dependent bootstrap is defined as the sample of size $m(n)$, denoted $\{\hat{X}^{(\omega)}_{n, j}, 1 \leq j \leq m(n)\}$, drawn without replacement from the collection of $n k(n)$ items made up of $k(n)$ copies each of the sample observations $X_1(\omega), \cdots, X_n(\omega)$. Let $\overline{X}_n(\omega) = \frac{1}{n} \sum_{j=1}^n X_j(\omega)$ denote the sample mean of $\{X_j(\omega), 1 \leq j \leq n\}$. This dependent bootstrap procedure is proposed as a procedure to reduce variation of estimators and to obtain better confidence intervals. Aula e orario da comunicare Giulia Curciarello Segreteria Didattica tel: 050-2213219 e-mail curciare(a)dm.unipi.it _______________________________________________ Settimanale mailing list Settimanale(a)mail.dm.unipi.it https://mail.dm.unipi.it/mailman/listinfo/settimanale

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[Settimanale] Avviso seminario prof. Luigi Preziosi
by Giulia Curciarello 02 Dec '04

02 Dec '04

AVVISO DI SEMINARIO Si informa che il giorno 9 dicembre alle ore 17.00 presso la Sala conferenze del Centro Ennio De Giorgi (Collegio Puteano), il Prof. Luigi Preziosi, terrà un seminario sulle applicazioni della matematica alla medicina, dal titolo: "Modelli matematici a sostegno della lotta contro il cancro" Abstract "Il seminario ha lo scopo di presentare gli ambiti matematici e gli approcci metodologici utilizzati nello sviluppo di modelli matematici a sostegno della ricerca contro il cancro. La necessita' di un approccio interdisciplinare e multiscala e' messo in evidenza. Infine, alcuni modelli operanti alla scala macroscopica e mesoscopica sono presentati a titolo di esempio. In particolare, si presenteranno alcuni modelli di crescita di iperplasie e tumori, di angiogenesi (formazione di vasi sanguigni sotto l'azione stimolante del tumore) e di organizzazione di cellule endoteliali finalizzata alla formazione di reti vascolari." Tutti gli interessati sono invitati ad intervenire. Giulia Curciarello Segreteria Didattica tel: 050-2213219 e-mail curciare(a)dm.unipi.it _______________________________________________ Settimanale mailing list Settimanale(a)mail.dm.unipi.it https://mail.dm.unipi.it/mailman/listinfo/settimanale

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