Cari colleghi,
vi segnalo che il Dipartimento di Matematica dell'Università di Padova
ha bandito un posto di ricercatore di tipo B nel settore MAT/06.
Il bando è disponibile alla pagina
http://www.math.unipd.it/it/news/?id=1898
La scadenza per la presentazione delle domande è il 25 agosto 2016.
Marco Ferrante
*********************************************************************
SEMINARI DI PROBABILITA' E STATISTICA MATEMATICA
DIPARTIMENTO DI MATEMATICA "G. PEANO"
UNIVERSITA' DEGLI STUDI DI TORINO
*********************************************************************
Martedì 17 Aprile 2018 alle ore 15:00 in Aula Marro presso il
Dipartimento di
Matematica "G. Peano" dell'Università degli Studi di Torino, Via Carlo
Alberto 10,
Il Prof. *VASSILI KOLOKOLTSOV*
terrà un seminario dal titolo
*Recent …
[View More]developments in probabilistic and analytic methods for
fractional differential equations
*
Abstract:
We shall discuss recent achievements in solving fractional differential
equations and their extensions arising from generalized fractional
calculus. Probabilistic techniques will be derived from the notion of
Markov processes interrupted on the attempt to cross the boundary.
Analytic techniques will cover generalized operator-valued
Mittag-Leffler functions and chronological Feynman-Kac formulas.
Tutti gli interessati sono invitati a partecipare.
--
Dr. Cristina Zucca
Department of Mathematics
University of Torino
Via Carlo Alberto 10
10123 Torino, Italy
tel: +39-011-6702850
fax: +39-011-6702878
[View Less]
Carissimi,
Siamo felici di annunciarvi la ottava giornata di seminari:
A ``LATE-SUMMER'' DAY IN PROBABILITY AND STATISTICAL PHYSICS
University of Florence
Friday 27 September 2019
Lecturers: Pierre Picco (Marseille) and Rui Pires da Silva Castro (Eindhoven)
Location: Aula Tricerri Viale Morgagni 67, Firenze
Informazioni su come arrivare alla pagina:
https://www.dimai.unifi.it/vp-285-come-arrivare-how-to-get.html
Note pratiche: Stiamo prenotando un catering con cibi vegerariani e non, …
[View More]percio` abbiamo bisogno del numero di persone che vogliono mangiare insieme. A coloro che fossero interessati (per una migliore organizzazione) chiedo di
mandare un email a
francescaromana.nardi(a)unifi.it <mailto:francescaromana.nardi@unifi.it> ; gianmarco.bet(a)unifi.it <mailto:gianmarco.bet@unifi.it> ; angela.caporicci(a)unifi.it <mailto:angela.caporicci@unifi.it> ,
con l'intenzione di partecipare al seminario, al coffe break e al pranzo.
PROGRAMMA
Prof. Pierre Picco (CNRS Marseille)
Title: One-dimentional Ising model with long range interactions.
A review of results
Abstract:
Introductory lecture
In the first talk I will make an quick historical survey of the rigorous results on the one-dimensional Ising model with long-range interactions.
A first part will be dedicated to uniqueness of the Gibbs states (Ruelle (1968); Dobrushin (1968); Bricmont, Lebowitz & Pfister (1986))
and the regularity of the free energy when the decay of the potential is fast enough (Dobrushin (1973) Cassandro & Olivieri (1981)
and its extensions in particular Capocaccia, Campanino & Olivieri (1983).
A second part will be dedicated to the existence of phase transition starting from the Kac-Thompson conjecture (1968)
the Dyson results (1969), the Frohlich \& Spencer result (1982), the Imbrie result (1982) the Aizenmann, Chayes, Chayes & Newman
result on the Thouless effect (1988), Imbrie & Newman result on the Berezinsky, Kosterlitz & Thouless transition (1988).
A third part will be dedicated to present results in the phase transition regime
that started with Frohlich & Spencer (1981), Cassandro, Ferrari, Merola & Presutti (2001) and its extensions in particular
by Cassandro, Merola, Picco & Rosikov (2014) on the definition of an interface and its fluctuations,
and on a Minlos & Sinai theorem on the phase separation problem by Cassandro, Merola & Picco (2017).
Seminar
In the second talk I will review heuristic arguments that were invoked to conjecture the existence of a phase transition at low temperature in particular the Landau argument.
I will present toy models where the fluctuation of interfaces and localisation of the droplet in the Minlos & Sinai theory will be explained. I will give an algorithmic
definition of one-dimensional contours of Cassandro, Ferrari, Merola & Presutti.
Prof. Rui Pires da Silva Castro (Eindhoven University of Technology)
Title: Testing for the presence of communities in inhomogeneous random graphs
Abstract: Many complex systems can be viewed as a network/graph consisting of vertices (e.g., individuals) connected by edges (e.g., a friendship relation). Often one believes there is some sort of community structure, where some vertices are naturally grouped together (e.g., more densely connected between themselves than to the rest of the network). Much of the community detection literature is concentrated around methods that extract communities from a given network. Our goal in this work is different, and we attempt to understand how difficult is it to determine if a network has real communities. Furthermore, we are primarily interested in the case of small or very small communities, for which many existing results and methods are not applicable.
We cast this problem as a binary hypothesis test, where the null model corresponds to a graph without community structure, and the alternative model almost the same, but it also includes a planted community - that is, a small subset of the vertices has higher connection probability than under the null. The main question is to determine the minimal size and “strength” of the planted community that will allow detection. The seminal work of Arias-Castro and Verzelen tackled this problem when the null model is a homogeneous random graph. In our work, however, we consider the case where the null model is inhomogeneous, as this is somewhat closer to realistic scenarios. In particular, we present a scan test and provide conditions under which it is able to detect the presence of a small community. These results are valid for a wide variety of parameter choices. Furthermore, we show that for some parameters choices the scan test is optimal, and no other test can perform better (e.g, detect smaller or weaker planted communities). Finally, we extend this scan test to adapt to many parameters of the model when the null is a rank-1 generalized random graph.
In the first part of the talk I will describe the above formulation and ensuing results, with illustrative examples and briefly touching upon the analytical methodology. In addition, I will discuss the related problem of characterizing cliques in rank-1 random graphs, which provides some insights on the role of inhomogeneity. The second part of the talk will go deeper into more technical aspects and ensuing insights. This presentation is based on joint work with Kay Bogerd and Remco van der Hofstad (https://arxiv.org/abs/1805.01688 and ongoing work).
Program:
11.00-11.45 Introductory lecture: Picco
11.45-12.00 Break
12.00-12.45 Seminar: Picco
13.00-14.30 Lunch
14.30-15.15 Introductory lecture: Pires da Silva Castro
15.15-15.30 Break
15.30-16.30 Seminar: Pires da Silva Castro
Organizers:
G. Bet, F. Caravenna, N. Cancrini, E.N.M. Cirillo, P. Dai Pra, A. De
Masi, D. Fanelli, F. Flandoli, C. Giardina`, R. Livi, F. Martinelli,
I.G. Minelli, F.R. Nardi, E. Presutti, B. Scoppola, E. Scoppola.
Ricordo che ciascuno oratore fara` una lezione introduttiva e
divulgativa di 45 minuti pensata proprio per i non esperti, seguita da
altri 45 minuti di tipo seminario (vedi programma).
Maggiori informazioni e aggiornamenti sono reperibili alla pagina web
http://web.math.unifi.it/users/fnardi/seminari/
Vi aspettiamo numerosi
Francesca R. Nardi e Gianmarco Bet
Dipartimento di Matematica e Informatica
Università degli Studi di Firenze
Viale Morgagni 67, Firenze, Italy
[View Less]
Car* Collegh*,
vi segnalo che la settima edizione di Fractional Calculus Probability and
Non-Local Operators si terra' presso l'Universita' del Sussex dal 26 al 28
settembre 2019.
Piu' informazioni sono disponibili a:
http://www.sussex.ac.uk/maths/research/fcpnlo-7
La registrazione e' aperta ed e' obbligatoria ma gratuita.
Cordiali saluti
Enrico Scalas
Alla pagina web
https://careers.polito.it/default.aspx?id=11/19/P/RA
è consultabile il bando per una posizione RTD-a nel
settore MAT/06 presso il Dipartimento di Scienze
Matematiche del Politecnico di Torino.
La scadenza di presentazione delle domande è fissata per
giovedì 26 settembre 2019 alle ore 15.
Postdoctoral Position - Università Ca’ Foscari Venezia
The Department of Management at Università Ca’ Foscari Venezia invites
applications for a postdoctoral fellowship within the research project:
"Design of Incentives under Misspecified Models”. The general area of
interest is Economic Theory, with emphasis on Game Theory.
Prospective candidates are expected to have relevant experience on the
research topic, and should preferably be holding a Ph.D. or being close to
receiving one. The …
[View More]research shall be carried out in English.
Duration of contract: 24 months (expected starting date: October 2019).
Deadline: September 23rd 2019, 12 a.m. (GMT+2, Rome Time)
Stipend: The research fellowship amounts to 24,400.00 Euros per year,
including taxes and social charges.
Abstract: This project studies the design of incentive systems for agents
holding misspecified models or having access only to partial
representations of the environment. The agents may be part of
teams, organizations, markets, or more general game-theoretic contexts.
Relevant information for applicants is available in English (
https://apps.unive.it/common2/file/download/assegni_ricerca/5d6389ca17abb)
and in Italian (
https://apps.unive.it/common2/file/download/assegni_ricerca/5d6389ca176fe).
__________________________________
Marco Li Calzi
Department of Management
Università Ca' Foscari Venezia
San Giobbe, Cannaregio 873
30121 Venezia, Italy
Tel.: (+39) 041 234-6925
Fax: (+39) 041 234-7444
E-mail: licalzi(a)unive.it
WWW: http://mizar.unive.it/licalzi
--
Nota automatica aggiunta dal sistema di posta.
[View Less]
18^th INTERNATIONAL CONFERENCE
CREDIT 2019
*/Assessing and Managing Climate Change Risk: /*
*/Opportunities for Financial Institutions/*
**
Venice, Italy
26 –27 September 2019
*GRETA Associati *(Venice, Italy), *European DataWarehouse* (Frankfurt
am Main, Germany), *Intesa Sanpaolo *(Milan, Italy) and *S&P Global
Market Intelligence* (London, UK) are co-sponsors of a Conference to be
held in Venice on September 26-27, 2019. The objective of the Conference
is to bring together …
[View More]academics, practitioners and Ph.D. students working
in the area of risk management. The conference will provide an
opportunity for participants engaged in research at the forefront of
this area to discuss both the causes and implications of recent
financial and atmospheric events and may, in turn, suggest fruitful
directions for future research. The Conference, organised under the
auspices of the *Department of Economics of the University Ca’ Foscari
of Venice*, *ABI - Italian Banking Association*, *AIAF - Associazione
Italiana per l'Analisi Finanziaria* (Milan, Italy)**and the *Joint
Research Center, European Commission *(Ispra, Italy), is the
*eighteenth* of a series dedicated to various aspects of credit risk.
//The adoption of the Paris Agreement on climate change and the UN 2030
Agenda for Sustainable Development marks a historical international
commitment to the objective of a more sustainable economy and society.
How to mobilise the necessary financing for green and sustainable
investments is thus a primary need. //
//Meanwhile, Regulators are discussing about a green-supporting or a
brown-penalising factor since they want to make sure financial
institutions are prepared. It is to find the way to support sustainable
investments but it is primarily a discussion about credit risk.//
//The banking and insurance industries and more in general the financial
sector has to develop new asset management strategies and to adjust
their credit allocation practices to cope with these new challenges and
take advantage of the new opportunities. All t////hese changes call for
a substantial amount of research to improve the knowledge of the
mechanisms at play and to design adapted policy tools.////
The SCIENTIFIC COMMITTEE consists of:
·*Carlo Carraro*(Ca’ Foscari University of Venice & CMCC, Programme Chair)**
·*Stefano Battiston *(University of Zurich)
·*Monica Billio *(Ca’ Foscari University of Venice & GRETA)
·*Francesca Campolongo *(Joint Research Center, European Commission)
·*Robert Engle *(New York University)
·*Thomas Heller *(Climate Policy Initiative & Stanford University)
·*Andreas Hoepner*(University College Dublin)
·*StevenOngena *(University of Zurich, Swiss Finance Institute, KU
Leuven & CEPR)
·*StephenSchaefer *(London Business School)
·*Cristiano Zazzara*(S&P Global Market Intelligence, New York)
PROGRAMME
*Thursday, September 26 2019*
08.30 - 09.00 _Registration_
09.00 - 09.15 _Welcome_: *Michele Bugliesi* (Rector, Ca’ Foscari
University of Venice)
_Opening Remarks:_ *Carlo Carraro* (Ca’ Foscari University of Venice &
CMCC, Programme Chair)
09.15 - 11.00 _Session I: BANKS AND CREDIT RISK_
Chairman: *Monica Billio* (Ca’ Foscari University of Venice & GRETA)
•*Key-note talk:*/Banks and Climate Risk/, *Til Schuermann* (Oliver
Wyman, New York)
•/Climate Change and Credit Risk/, Giusy Capasso (Bocconi University)and
*Gianfranco Gianfrate* (EDHEC Business School, Nice) -
_Discussant:_*Roberto Panzica* (European Commission)
•/Relaxing Credit Constraints: Credit Risk, Financial Intermediation
Quality, and Environmental Impact/, *Ashay Kadam* (Indian Institute of
Management at Udaipur)and Magdalena Pisa (WHU - Otto Beisheim School of
Management) - _Discussant:_ *Andrea Giacomelli* (Knowshape, Venice)
11.30 - 13.15 _Session II: CLIMATE RISK AND EQUITY MARKETS_
Chairman: *Carlo Carraro* (Ca’ Foscari University of Venice & CMCC,
Programme Chair)
•*Key-note talk*: /New Results on Sustainable Investing/, *Robert Engle*
(New York University)
•/Climate Risks and Stock Returns/, Eugenio Carnemolla (University of
Lausanne)and *Giuseppe Vinci* (Rice University, Houston) - _Discussant:_
*Massimiliano Caporin* (University of Padua)
•/Investor Ownership and Carbon-Intensive Stocks: Who Holds the Carbon
Risk Bomb?/, Lukas Benz (University of Augsburg), Stefan Paulus
(University of Augsburg), Julia Scherer (University of Augsburg), Janik
Syryca (University of Augsburg)and *Stefan Trück* (Macquarie University,
Sidney) - _Discussant:_ *Thomas Heller* (Climate Policy Initiative &
Stanford University)
14.15 - 15.45 _Session III: CLIMATE POLICY RISK_
Chairman: *Reinhard Harry Schmidt* (SAFE - Goethe University Frankfurt)
•/Being Stranded with Fossil Fuel Reserves? Climate Policy Risk and the
Pricing of Bank Loans/, *Manthos D. Delis* (Montpellier Business
School), Kathrin de Greiff (University of Zurich & Swiss Finance
Institute)and Steven Ongena (University of Zurich, Swiss Finance
Institute, KU Leuven & CEPR) - _Discussant:_ *Cristiano Zazzara* (S&P
Global Market Intelligence, London)
•/Assessing Sustainable Finance Policies Via a Stock-flow Consistent
Macro Model with Portfolio Choice/, Nepomuk Dunz (Wirtschaftsuniversität
Wien), Irene Monasterolo (Wirtschaftsuniversität Wien)and *Marco
Raberto* (University of Genoa) - _Discussant:_ *Carlo Giupponi* (Ca’
Foscari University of Venice)
•/Carbon Pricing Paths /to a/Greener Future /and/Potential Roadblocks
/to/Public Companies Credit-Worthiness/, *Giorgio Baldassarri Höger von
Högersthal* (S&P Global Market Intelligence, London), Arsene Lui (S&P
Global Market Intelligence, London), Hrvoje Tomicic (S&P Global Market
Intelligence, London), Luka Vidovic (S&P Global Market Intelligence,
London)and Cristiano Zazzara (S&P Global Market Intelligence, London) -
_Discussant:_ *Anant K. Sundaram* (Dartmouth College)
15.45 - 16.30 _POSTER SESSION_
16.30 - 18.15 _Session IV: CLIMATE CHANGE AND ASSET PRICES _
Chairman: *Stephen Schaefer* (London Business School)
•*Key-note talk:*/ESG Engagement and Downside Risk/, *Andreas
Hoepner*(University College Dublin)
•/Is Firm-level Clean or Dirty Innovation Valued More?/, Antoine
Dechezleprêtre (London**School of Economics), Cal B. Muckley (University
College Dublin)and *Parvati Neelakantan* (University College Dublin) -
_Discussant:_ *Marti G. Subrahmanyam* (New York University)
•/ESG and Corporate Credit Spreads/, Florian Barth (Friedrich-Alexander
Universität Erlangen-Nürnberg), *Benjamin Hübel* (Friedrich-Alexander
Universität Erlangen-Nürnberg)and Hendrik Scholz (Friedrich-Alexander
Universität Erlangen-Nürnberg) - _Discussant:_ *Loriana Pelizzon* (SAFE
- Goethe University Frankfurt)
_Social dinner at the Hotel Monaco: _*Speech *by*Ignazio Visco*
(Governor, Bank of Italy)
*Friday, September 27 2019*
09.00 - 10.45 _Session V: CLIMATE RISK PRICING AND ASSESSMENT_
Chairman: *Andrea Gasperini* (AIAF, Milan)
•*Key-note talk:*/A Climate Finance Risk Assessment and Management
Approach under Uncertainty/, *Irene Monasterolo* (Wirtschaftsuniversität
Wien)
•/The Greenium Matters: Evidence on the Pricing of Climate Risk/, *Lucia
Alessi* (European Commission), Elisa Ossola (European Commission)and
Roberto Panzica (European Commission) - _Discussant:_ *Andreas Hoepner*
(University College Dublin)
•/Climate Risk and Financial Stability in the Network of Banks and
Investment Funds/, Alan Roncoroni (University of Zurich), *Stefano
Battiston* (University of Zurich), Luis Onésimo Leonardo Escobar Farfán
(Banco de Mexico)and Serafin Martinez Jaramillo (Banco de Mexico &
Centro de Estudios Monetarios Latinoamericanos) - _Discussant:_ *Matteo
Manera* (University of Milano-Bicocca)
11.15 - 12.45 _PANEL Session: CLIMATE CHANGE RISK: THE POLICY MAKERS'
POINT OF VIEW_
Moderator: *Francesca Campolongo* (Joint Research Center, European
Commission)
_Participants:_
*Sergio Nicoletti Altimari*(European Central Bank)
*Mattia Romani*(European Bank for Reconstruction and Development)
*Nancy Saich*(European Investment Bank)
*Manuela Zweimueller*(European Insurance and Occupational Pensions
Authority)
*Mario Nava*(European Commission)will contribute a video message
13.45 - 15.15 _Session VI: LENDING AND CLIMATE CHANGE_
Chairman: *Giulio Mignola* (Intesa Sanpaolo, Turin)
•/High Water, No Marks? Biased Lending After Extreme Weather/, Nicola
Garbarino (Bank of England)and *Benjamin Guin* (Bank of England) -
_Discussant:_ *Steven Ongena* (University of Zurich, Swiss Finance
Institute, KU Leuven & CEPR)
•/Buildings' Energy Efficiency and the Probability of Mortgage Default:
The Dutch Case/, Monica Billio (Ca’ Foscari University of Venice &
GRETA), *Michele Costola* (SAFE - Goethe University Frankfurt), Loriana
Pelizzon (SAFE - Goethe University Frankfurt)and Max Riedel (SAFE -
Goethe University Frankfurt & Ca' Foscari University of Venice)-
_Discussant:_ *Olivier De Jonghe* (National Bank of Belgium & Tilburg
University)
•/Climate Change and Bank Lending: the Case of Flood Risk in Italy,
/*Ivan Faiella*(Bank of Italy)and Filippo Natoli (Bank of Italy) -
_Discussant:_ *Malcolm Mistry* (Ca’ Foscari University of Venice & CMCC)
15.45 - 17.15 _PANEL Session Practice: CLIMATE CHANGE RISK: A
PRACTITIONERS’ VIEW_
Moderator: *Isabella Bufacchi* (Il Sole 24 Ore)
_Participants:_
*Mark Carhart*(Kepos Capital, New York)
*Carlo Carraro*(Ca’ Foscari University of Venice & CMCC)
*Robert Engle*(New York University)
*Giulio Mignola*(Intesa Sanpaolo, Turin)
*Jobst Neuss*(European Investment Fund, Luxembourg)
*Til Schuermann*(Oliver Wyman, New York)
*Cristiano Zazzara*(S&P Global Market Intelligence, New York)
17.15 - 18.15 _Session VII: CLIMATE CHANGE AND BOND MARKET_
Chairman: *Ludovic Thebault* (European DataWarehouse)
•/Climate Change Implications for the Catastrophe Bonds Market: An
Empirical Analysis/, *Claudio Morana* (University of Milano-Bicocca,
Center for Research on Pensions and Welfare Policies & Rimini Centre for
Economic Analysis)and Giacomo Sbrana (NEOMA Business School) -
_Discussant:_ *Luca De Angelis* (University of Bologna)
•/The Pricing of Green Bonds: Are Financial Institutions Special?/,
Serena Fatica(European Commission), Roberto Panzica (European
Commission)and *Michela Rancan* (European Commission) - _Discussant:_
*Marcello Pericoli* (Bank of Italy)
_End of conference - *Exclusive visit to the Venetian Collection of
Intesa Sanpaolo* and cocktail at the Querini Stampalia_
__
REGISTRATION
To register for the Conference you are requested to complete the
registration form that is available on our website
(http://www.greta.it/credit/credit2019/credit2019.htm).
Registration fees are:
Early registration
(within August 31st)
Late registration
(from September 1st on)
Academics:
250 Euro + VAT
300 Euro + VAT
Practitioners:
800 Euro + VAT
1000 Euro + VAT
Academics Poster Presenter:
150 Euro + VAT
200 Euro + VAT
Practitioners Poster Presenter:
500 Euro + VAT
500 Euro + VAT
PhD Students*:
100 Euro + VAT
150 Euro + VAT
*VAT is currently 22% *
*Students will have to provide valid proof of their student status.
The registration fees cover: Admission to all scientific sessions,
Lunches and coffee service during the Conference and Conference kit.
The registration fees do not fully cover the conference dinner on
*September 26th, 2019*, for which there is an extra charge of 90.00 Euro
per person (conference attendees as well as accompanying persons).
More detailed information soon available on the Conference website:
http://www.greta.it/credit/credit2019/credit2019.htm
--
--
Monica Billio
Dipartimento di Economia, Università Ca' Foscari Venezia
Fondamenta San Giobbe 873, 30121 Venezia
Tel +39 041 2349170, Fax +39 041 2349176
E-mail billio(a)unive.it
http://www.unive.it/persone/billiohttp://ideas.repec.org/e/pbi55.htmlhttp://papers.ssrn.com/sol3/cf_dev/AbsByAuth.cfm?per_id=303041http://scholar.google.it/citations?user=ll83_twAAAAJ&hl=en
CREDIT 2019 http://www.greta.it/credit/credit2019/credit2019.htm
--
Nota automatica aggiunta dal sistema di posta.
[View Less]
*Concorso RTD.B - SC: 13/D1 - SSD: SECS-S/01 (Statistica)*
*Università del Piemonte Orientale*
Cari colleghi,
con la presente si informa che è stato pubblicato il bando per un posto
di ricercatore a tempo determinato, lettera B, per il settore concorsuale
13/D1 (Statistica), settore scientifico disciplinare SECS-S/01 (Statistica)
presso il Dipartimento di Studi per l'Economia e l'Impresa (DiSEI)
dell'Università del Piemonte Orientale.
Il bando è disponibile alla pagina:
https://www.uniupo.it/…
[View More]alta-formazione-aziende-lavoro/concorsi/concorsi-il-p…
Le domande di partecipazione devono essere inviate entro il *22/09/2019* (ore
23.59). Si prega di diffondere la comunicazione tra i potenziali
interessati.
Cordiali saluti,
Enea Bongiorno
--
Università degli Studi del Piemonte Orientale
Via Perrone 18, 28100, Novara, Italia
Tel: +390321375317 <0321%20375317>
e-mail: enea.bongiorno(a)uniupo.it
web: upobook.uniupo.it/enea.bongiorno
[View Less]
SEMINARIO
Probabilita'
Sam Thomas
(Cambridge, UK)
Titolo: Cutoff for Random Walk on Random Cayley Graphs
Lunedi' 02 Settembre 2019 ORE 14:30
Dipartimento di Matematica e Fisica
Universita' degli Studi Roma Tre
Largo San Leonardo Murialdo,1 - Pal.C - Aula 211
Abstract
Consider the random Cayley graph of a finite group $G$ with respect to
$k$ generators chosen uniformly at random, with $1 ll log k ll
log|G|$: the vertices are the group elements, and $g,h in G$ are
connected if there exists …
[View More]a generator $z$ so that $g = hz$ or $gz =
h$. A conjecture of Aldous and Diaconis asserts that the simple random
walk on this graph exhibits cutoff, at a time which depends only on
$|G|$ and $k$, not on the algebraic structure of the group $G$ (ie
universally in $G$). We verify this conjecture for a wide class of
Abelian groups. Time permitting, we discuss extensions to the case
where the underlying group $G$ is non-Abelian. There the cutoff time
cannot be written only as a function of $|G|$ and of $k$; it depends
on the algebraic structure. This is joint work with Jonathan Hermon.
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