Ladbroke Black, L. R., Percy Jennings, Boyle, F. G. Bettany, Frank Rutter, Strategos, Wilfred T. Fry Secretary, St. Pancras, Ellis C. A. Paiba, K., H. J. Jennings, Hermann Reinheimer, Quillion, L. Van Vliet, Thomas A. Gilbert, Barbara, A. Walters, J. T. Grein, W. H. Williamson, Donald J. Munro, Bernard Darwin, Henry Pick, E. G. Brunker, C. Stewart Caine, F. J. C., Quarter-Deck,
... Reuter: Crown Prince's Tour Programme Unchanged Mr. Hermon C. Bumpus, the distinguished scientist3 King and Queen ... Story Killed by a Motor 'Bus Coup at Monte Carlo Houndsditch Murders Yesterday's Inquests Death Certificate ...
1911 - Gale Group | Sunday Times HA GDA
Distribution of vascular plant species on Mt Hermon, Israel, was analysed to determine if plant species occurred in discrete communities or if vegetation change was continuous along the altitudinal gradient (300- 2810 m a.s.l.). Numbers of species beginning and ending their ranges in 50- and 100-m elevational bands were compared to those expected if species were arranged randomly along the mountainside. A Monte Carlo simulation was used to determine expected distributions of range borders. There were no significant differences between cumulative frequency distributions of observed and ...
Tópico(s): Rangeland and Wildlife Management
1993 - Wiley | Journal of Ecology
Srikumar Sen, Boxing Correspondent, Jeremy Andrews, Malcolm Brown, Frances Gibb, Legal Affairs Correspondent, Sarah Edworthy, Sheila Gunn, Political Reporter, Nick Nuttall, Andrew McEwen, Peter Sanders, Chief Executive, John Goodbody and Louise Taylor, Kevin Eason and Nicholas Wood, Patricia Davies, Alan Hart, Michael Horsnell and William Peakin, K. Grey-Mills, Simon Barnes, Pearce Wright, Neil Bennett, Robert Armstrong, Mark Souster, John Ambrose, Sheridan Morley, Ivo Tennant, Douglas Broom, Education Reporter, Angela MacKay, Philip Howard, John Bell, City Editor, Hilary Finch, Ian Murray, Richard Evans, Media Editor, Carol Leonard, Srikumar Sen, Dessa Trevisan, Richard Streeton, Charles Best, Kevin Eason, Motoring Correspondent, Michael Grade, Stuart Jones Football Correspondent, Eric James, Geoff Brown, Peter G. New, Joe Joseph, Bernard Levin, Lindsay Cook, Family Money Editor, Libby Jukes, Michael Dynes Transport Correspondent, Henry Gee, Stewart Tendler Crime Correspondent, Peter Jones, Malcolm Weller, F. W. Freeman, Ruth Gledhill, Charles Villiers, Jill Sherman, Social Services Correspondent, Iain H. Pattison, Nigel de Gruchy General Secretary, Richard Ford Political Correspondent, Louise Taylor, P. McLean, Peter Waymark, Peter Bills, John E. Davies, Robin Young, Alan Hamilton, Ernest Beck, Nick Kochan, Michael Clark, Nicholas Wood and Tim Jones, Dan Drew, David Hands, Charles Bremner, Simon Banner, B. Jones, Woodrow Wyatt, Nigel de Gruchy, General Secretary, Gyles Brandreth, Thomson Prentice, Norman de Mesquita, Pat Humphris, Maurice RICKARDS(Curator), Quentin Cowdry Home Affairs Correspondent, Robert Cockburn, Christopher Dowset, Nicholas Serpell, Leslie Tilley, Harvey Elliott, Air Correspondent, Sally Jones, Edward Fennell, C. E. Lock Wood, Sally Watts, John Woodcock, Robert Kirley, Sydney Friskin, David Miller, Robin Oakley Political Editor, Gillian Bowditch, Daniel Treisman, Christopher Goulding, R. G. James, Robin Oakley, Political Editor, David Powell Athletics Correspondent, David Robinson, Peter Davalle, David Brewerton Executive Editor, H. M. Cotter, Raymond Keene, Chess Correspondent, Dennis Shaw, Paul Griffiths, Peter Bryan, Mary Dejevsky and Hazhir Teimourian, Grizelda George, J. Enoch Powell, Mark Herbert, C. S. Perrott, Lindsay Cook Family Money Editor, Martin Searby, Peter Guilford, Patrick Dent, Ronald Butt, David Sapsted, David Hands Rugby Correspondent, David Brewerton, Roger Patenall, Robin Oakley and Richard Ford, Jane Bidder, Philip Webster Chief Political Correspondent, Christopher Walker, Conor Cruise O'brien, D. Jordan, Clive White, Matthew Parris, Malcolm McKeag, Sarah Jane Checkland Art Market Correspondent, George Hendon, Michael Austin, Owen Jenkins, Sarah Jane Checkland, Colin Laity, J. F. Broxholme, A. Egremont-Lee, Peter Guttridge, Robin Stacey and Paul Wilkinson, Graham Searjeant, Adrian Dannatt, Melinda Wittstock, Philip Pangalos, Edward Grayson, Alan McGregor, Benedict Nightingale, Dr Thomas Stuttaford, Michael Evans Defence Correspondent, Chris Moore, G. H. B. Cattell (Director), Anne McElvoy, Simon Tait and Libby Jukes, Susan Ellicott, William L. Melrose, Ruth Gledhill and Stewart Tendler, Tim Jones, Employment Affairs Correspondent, A. L. Turner, Philip Jacobson, Liz Smith Fashion Editor, Colin McQuillan, Andrew Longmore, Tennis Correspondent, Clement Freud, Rodney Lord Economics Editor, Mary Dejevsky,
... was key to European radar contract Ferranti deal Hermon stuns MPs in Stalker affair Correction Times crossword ... One rider most be excluded (Reuter): Coach delays Monte finale Motor Rallying Grampa Communications Ltd. After the ...
1990 - Gale Group | TDA
Justin Salez, Jonathan Hermon,
... As another application, we deduce that the natural Monte-Carlo Markov chain used to sample from π ...
Tópico(s): Bayesian Methods and Mixture Models
2023 - Institute of Mathematical Statistics | The Annals of Applied Probability
Srikumar Sen, Boxing Correspondent, Executive Editor David Brewerton, Frances Gibb, Legal Affairs Correspondent, Andrew Billen, Nicholas Wood, Political Correspondent, Elspeth Walder, Simon Barnes, Richard Thomson Banking Correspondent, Boris Johnson, Pearce Wright, Andrew Longmore, Raymond Heath, David Lee, Cliff Feltham, Ivo Tennant, Michael Seely, Racing Correspondent, Sally Brompton, Philip Howard, Michael Yorke, Carol Leonard, Richard Streeton, Martin Fletcher and Patrick O'Hanlon, Mario Modiano, Colin Narbrough, Rodney Lord and Robin Oakley, Nicholas Wood and Richard Owen, Martin Fletcher, Roger Boyes and Clifford Longley, Religious Affairs Editor, (Michael Philips), Roger Lean-Vercoe, Graham Hills, Principal and Vice-Chancellor, Jim Railton, Mitchell Platts, Golf Correspondent, J. D. Shire, James Varley Editor, Lawrence Lever, Susan Richardson, Peter Waymark, Michael Evans, Defence Correspondent, David Miller and Redgrave, Robin Young, Alan Hamilton, Ann Kent, David Smith Economics Correspondent, Jenny MacArthur, Charles Bremner, Stuart Jones, Football Correspondent, John Hennessy, Martin Fletcher Political Reporter, T. Mervyn Jones, Sally Watts, Javed Akhtar, John Woodcock, Rex Bellamy Tennis Correspondent, Stephen Johnson, Nicholas Harling, Joy H. A. Bourdillon, Robert Matthews Technology Correspondent, David Miller, Nicolas Soames, Celia Brayfield, Peter Davalle, Alan Lee, Cricket Correspondent, John Russell Taylor, Raymond Keene, Chess Correspondent, David Samuel, Director, Barbara Amiel, John Cogle Editor, Craig Brown, M. I. Samuels (Chairman), Peter Dear and Jane Rackham, Steve Acteson, Peter Bryan, Alexandra Jackson, Ewald Junge, Richard Evans, Cathy Harris, Sheila Gunn, Political Staff, Roland Rudd and Philip Webster, David Pleat, Richard Owen, Barry Pickthall, Irving Wardle, Maxwell Newton, Joyce Whitehead, Bryan Appleyard, David Mason, Gordon Borrie, Director General, Douglas Broom and Peter Ball, Colin Jenkins (Director), David Napley, Maxine Clarke, Christopher Warman Property Correspondent, John Goodbody, Pat Butcher, Athletics Correspondent, Ian Smith, Barrry Fantoni, Peter Evans, Peter Aykroyd, Daniel Ward Motor Industry Correspondent, Mike Berry, Malcolm McKeag, Patrick O'Hanlon, Sarah Jane Checkland Art Market Correspondent, Alan Franks, Michael Hornsby, Michael Seely, Michael Clark and Geoffrey Foster, Daniel Ward, Peta Levi, Stephen Pettitt, Martin Waller, G. Murray Jones, Michael Horsnell, I. W., David Nicholson-Lord, Richard Morrison, Jack Bailey, L. H. Edwards, Adam Roberts, Betty Williams, Colin Campbell, Phil Woods (Senior research officer), Peter Evans, Home Affairs Correspondent, Mary Dejevsky, Robert Kilroy-Silk, A. N. Lindsay, Richard Bassett Debrecen, John Watson,
... defeated over poll tax for nurses Announcement from Hermon possible soon, says King Parliament next week Picture ... pre-Lytham boost From Mitchell Platts, Golf Correspondent, Monte Carle Facility riddle thrown open
1988 - Gale Group | TDA
Jonathan Hermon, Tom Hutchcroft,
Abstract Let G be a connected, locally finite, transitive graph, and consider Bernoulli bond percolation on G . We prove that if G is nonamenable and $$p > p_c(G)$$ p > p c ( G ) then there exists a positive constant $$c_p$$ c p such that $$\begin{aligned} \mathbf {P}_p(n \le |K| < \infty ) \le e^{-c_p n} \end{aligned}$$ P p ( n ≤ | K | < ∞ ) ≤ e - c p n for every $$n\ge 1$$ n ≥ 1 , where K is the cluster of the origin. We deduce the following two corollaries: Every infinite cluster in supercritical percolation on a transitive nonamenable graph has ...
Tópico(s): Complex Network Analysis Techniques
2020 - Springer Science+Business Media | Inventiones mathematicae
Jonathan Hermon, Justin Salez,
We show that the spectral gap of a general zero range process can be controlled in terms of the spectral gap for a single particle. This is in the spirit of Aldous' famous spectral-gap conjecture for the interchange process, now resolved by Caputo et al. Our main inequality decouples the role of the geometry (defined by the jump matrix) from that of the kinetics (specified by the exit rates). Among other consequences, the various spectral gap estimates that were so far only available on the complete ...
Tópico(s): Random Matrices and Applications
2019 - Institute of Mathematical Statistics | The Annals of Applied Probability
Riddhipratim Basu, Jonathan Hermon, Yuval Peres,
A sequence of Markov chains is said to exhibit (total variation) cutoff if the convergence to stationarity in total variation distance is abrupt. We consider reversible lazy chains. We prove a necessary and sufficient condition for the occurrence of the cutoff phenomena in terms of concentration of hitting time of “worst” (in some sense) sets of stationary measure at least $\alpha$, for some $\alpha\in(0,1)$. We also give general bounds on the total variation distance of a reversible chain at time $t$ in ...
Tópico(s): Gene Regulatory Network Analysis
2017 - Institute of Mathematical Statistics | The Annals of Probability
Tópico(s): Random Matrices and Applications
2017 - Springer Science+Business Media | Probability Theory and Related Fields
Jonathan Hermon, Allan Sly, Yumeng Zhang,
We prove that the mixing time of the Glauber dynamics for sampling independent sets on n ‐vertex k ‐uniform hypergraphs is when the maximum degree Δ satisfies Δ ≤ c 2 k /2 , improving on the previous bound Bordewich and co‐workers of Δ ≤ k − 2. This result brings the algorithmic bound to within a constant factor of the hardness bound of Bezakova and co‐workers which showed that it is NP‐hard to approximately count independent sets on hypergraphs when Δ ≥ 5·2 k /2 .
Tópico(s): Limits and Structures in Graph Theory
2018 - Wiley | Random Structures and Algorithms
D.B. Syme, S. Popovichev, S. Conroy, Igor Lengar, Luka Snoj, C. Sowden, L. Giacomelli, G. Hermon, P. Allan, P. Macheta, David A. Plummer, J. Stephens, P. Batistoni, R. Prokopowicz, S. Jednoróg, M. Abhangi, Rajnikant Makwana,
... has been based on an extensive programme of Monte-Carlo calculations which, e.g., revealed a potential ...
Tópico(s): Nuclear reactor physics and engineering
2014 - Elsevier BV | Fusion Engineering and Design
... J. Cancer, 35, 1–39. PHILPOTTS, R.J., HERMON-TAYLOR, J., TEICH, M.M. & BROOKE, B.N. ( ...
Tópico(s): Gastrointestinal motility and disorders
1982 - Wiley | British Journal of Clinical Pharmacology
Produção Nacional
Revisado por pares
Jonathan Hermon, Hubert Lacoin, Yuval Peres,
The cutoff phenomenon describes the case when an abrupt transition occurs in the convergence of a Markov chain to its equilibrium measure. There are various metrics which can be used to measure the distance to equilibrium, each of which corresponding to a different notion of cutoff. The most commonly used are the total-variation and the separation distances. In this note we prove that the cutoff for these two distances are not equivalent by constructing several counterexamples which display cutoff ...
Tópico(s): Algorithms and Data Compression
2016 - Institute of Mathematical Statistics | Electronic Journal of Probability
Jonathan Hermon, Justin Salez,
We consider the zero-range process with arbitrary bounded monotone rates on the complete graph, in the regime where the number of sites diverges while the density of particles per site converges. We determine the asymptotics of the mixing time from any initial configuration, and establish the cutoff phenomenon. The intuitive picture is that the system separates into a slowly evolving solid phase and a quickly relaxing liquid phase: as time passes, the solid phase dissolves into the liquid phase, ...
Tópico(s): Point processes and geometric inequalities
2020 - Institute of Mathematical Statistics | The Annals of Probability
Nous montrons que le temps de mélange pour la distance $L_{\infty}$ d'une marche aléatoire sur une suite de graphe de taille $n$ et de degré uniformément borné peut être multiplié par un facteur d'ordre $\log\log n$ (optimal) en perturbant le poids des arrêtes du graphe de manière uniformément bornée. Ceci résout une question et une conjecture de Kozma.
Tópico(s): Random Matrices and Applications
2018 - Institute of Mathematical Statistics | Annales de l Institut Henri Poincaré Probabilités et Statistiques
Jonathan Hermon, Richard Pymar,
Oliveira conjectured that the order of the mixing time of the exclusion process with $k$-particles on an arbitrary $n$-vertex graph is at most that of the mixing-time of $k$ independent particles. We verify this up to a constant factor for $d$-regular graphs when each edge rings at rate $1/d$ in various cases: (1) when $d=\Omega (\log _{n/k}n)$, (2) when $\mathrm{gap}:=$ the spectral-gap of a single walk is $O(1/\log ^{4}n)$ and $k\ge n^{\Omega (1)}$, (3) when $k\asymp n^{a}$ for some constant $0<a<1$. In these cases, ...
Tópico(s): Random Matrices and Applications
2020 - Institute of Mathematical Statistics | The Annals of Probability
A sequence of chains exhibits (total-variation) cutoff (resp., pre-cutoff) if for all $0<\epsilon< 1/2$, the ratio $t_{\mathrm{mix}}^{(n)}(\epsilon)/t_{\mathrm{mix}}^{(n)}(1-\epsilon)$ tends to 1 as $n \to \infty $ (resp., the $\limsup$ of this ratio is bounded uniformly in $\epsilon$), where $t_{\mathrm{mix}}^{(n)}(\epsilon)$ is the $\epsilon$-total-variation mixing-time of the $n$th chain in the sequence. We construct a sequence of bounded degree graphs $G_n$, such that the lazy simple random walks (LSRW) on $G_n$ satisfy ...
Tópico(s): Protein Structure and Dynamics
2018 - Institute of Mathematical Statistics | Electronic Journal of Probability
Hermon and Hutchcroft have recently proved the long-standing conjecture that in Bernoulli(p) bond percolation on any nonamenable transitive graph G, at any p>pc(G), the probability that the cluster of the origin is finite but has a large volume n decays exponentially in n. A corollary is that all infinite clusters have anchored expansion almost surely. They have asked if these results could hold more generally, for any finite energy ergodic invariant percolation. We give a counterexample, an invariant ...
Tópico(s): Limits and Structures in Graph Theory
2021 - Chapman and Hall London | Bernoulli
We consider the model of random walk on dynamical percolation introduced by Peres, Stauffer and Steif in (Probab. Theory Related Fields 162 (2015) 487–530). We obtain comparison results for this model for hitting and mixing times and for the spectral gap and log-Sobolev constant with the corresponding quantities for simple random walk on the underlying graph $G$, for general graphs. When $G$ is the torus $\mathbb{Z}_{n}^{d}$, we recover the results of Peres et al., and we also extend them to the critical ...
Tópico(s): Random Matrices and Applications
2020 - Institute of Mathematical Statistics | The Annals of Probability
Consider a sequence of continuous-time irreducible reversible Markov chains and a sequence of initial distributions, $\mu_n$. The sequence is said to exhibit $\mu_n$-cutoff if the convergence to stationarity in total variation distance is abrupt, w.r.t. this sequence of initial distributions. In this work we give a characterization of $\mu_n$-cutoff for an arbitrary sequence of initial distributions $\mu_n$ (in the above setup). Our characterization is expressed in terms of hitting times of sets which are ...
Tópico(s): Bayesian Methods and Mixture Models
2018 - | Latin American Journal of Probability and Mathematical Statistics
Jonathan Hermon, Justin Salez,
We resolve a long-standing conjecture of Wilson (Ann. Appl. Probab. 14 (2004) 274–325), reiterated by Oliveira (2016), asserting that the mixing time of the interchange process with unit edge rates on the n-dimensional hypercube is of order n. This follows from a sharp inequality established at the level of Dirichlet forms, from which we also deduce that macroscopic cycles emerge in constant time, and that the log-Sobolev constant of the exclusion process is of order 1. Beyond the hypercube, our results ...
Tópico(s): Limits and Structures in Graph Theory
2021 - Institute of Mathematical Statistics | The Annals of Applied Probability
We prove that for a sequence of finite vertex-transitive graphs of increasing sizes, the cover times are asymptotically concentrated if and only if the product of the spectral-gap and the expected cover time diverges. In fact, we prove this for general reversible Markov chains under the much weaker assumption (than transitivity) that the maximal hitting time of a state is of the same order as the average hitting time.
Tópico(s): Graph theory and applications
2019 - Springer Science+Business Media | Journal of Theoretical Probability
Jonathan Hermon, Tom Hutchcroft,
Abstract We prove that critical percolation has no infinite clusters almost surely on any unimodular quasi-transitive graph satisfying a return probability upper bound of the form $p_n(v,v) \leq \exp \left [-\Omega (n^\gamma )\right ]$ for some $\gamma>1/2$. The result is new in the case that the graph is of intermediate volume growth.
Tópico(s): Mathematical Dynamics and Fractals
2019 - Oxford University Press | International Mathematics Research Notices
Justin Salez, Konstantin Tikhomirov, Pierre Youssef,
... questions by Montenegro and Tetali (2006) [27] and Hermon and Peres (2018) [17]. Our proof builds upon ...
Tópico(s): Algorithms and Data Compression
2023 - Elsevier BV | Journal of Functional Analysis
Recently Lubetzky and Peres showed that simple random walks on a sequence of $d$-regular Ramanujan graphs $G_n=(V_n,E_n)$ of increasing sizes exhibit cutoff in total variation around the diameter lower bound $\frac{d} {d-2}\log _{d-1}|V_n| $. We provide a different argument under the assumption that for some $r(n) \gg 1$ the maximal number of simple cycles in a ball of radius $r(n)$ in $G_n$ is uniformly bounded in $n$.
Tópico(s): Markov Chains and
2017 - Institute of Mathematical Statistics | Electronic Communications in Probability
Soit $(X_{t})_{t=0}^{\infty}$ une chaîne de Markov en temps discret, irréductible et réversible, à valeurs dans un espace d’états fini $\Omega$. Soit $P$ sa matrice de transition. Pour éviter les problèmes de périodicité (et ainsi garantir la convergence vers l’équilibre), on considère souvent la version à temps continu $(X_{t}^{\mathrm{c}})_{t\ge0}$, dont le noyau est donné par $H_{t}:=e^{-t}\sum_{k}(tP)^{k}/k!$. Une alternative consiste à considérer la chaîne moyennée $(X_{t}^{\mathrm{ave}})_{t=0}^{\infty}$, ...
Tópico(s): Gene Regulatory Network Analysis
2017 - Institute of Mathematical Statistics | Annales de l Institut Henri Poincaré Probabilités et Statistiques
Nina Gantert, Evita Nestoridi, Dominik Schmid,
Abstract We study the simple random walk on trees and give estimates on the mixing and relaxation times. Relying on a seminal result by Basu, Hermon and Peres characterizing cutoff on trees, we give geometric criteria that are easy to verify and allow to determine whether the cutoff phenomenon occurs. We provide a general characterization of families of trees with cutoff, and show how our criteria can be used to prove the absence of cutoff for several classes of trees, including spherically symmetric ...
Tópico(s): Random Matrices and Applications
2023 - Springer Science+Business Media | Journal of Theoretical Probability
Abstract We show that the total variation mixing time is not quasi-isometry invariant, even for Cayley graphs. Namely, we construct a sequence of pairs of Cayley graphs with maps between them that twist the metric in a bounded way, while the ratio of the two mixing times goes to infinity. The Cayley graphs serving as an example have unbounded degrees. For non-transitive graphs, we construct bounded degree graphs for which the mixing time from the worst starting point for one graph is asymptotically ...
Tópico(s): Graph theory and applications
2023 - Cambridge University Press | Canadian Journal of Mathematics
Jonathan Hermon, Justin Salez,
Introduced by Lu and Yau (Comm. Math. Phys. 156 (1993) 399–433), the martingale decomposition method is a powerful recursive strategy that has produced sharp log-Sobolev inequalities for homogeneous particle systems. However, the intractability of certain covariance terms has so far precluded applications to heterogeneous models. Here we demonstrate that the existence of an appropriate coupling can be exploited to bypass this limitation effortlessly. Our main result is a dimension-free modified log- ...
Tópico(s): Stochastic processes and statistical mechanics
2021 - Institute of Mathematical Statistics | The Annals of Applied Probability
Itaı Benjamini, Jonathan Hermon,
Nous montrons que les graphes pour lesquels la marche aléatoire simple est transiente n’admettent pas de chaîne de Markov transiente aux plus proches voisins (même non réversible) visitant toutes les arêtes avec probabilité positive, tandis qu’il en existe une pour le réseau carré $\mathbb{Z}^{2}$. En particulier, le réseau $d$-dimensionnel $\mathbb{Z}^{d}$ admet une telle chaîne de Markov seulement lorsque $d=2$. Lorsque $d=2$ nous présentons un exemple de Gady Kozma, et le résultat général est obtenu ...
Tópico(s): Point processes and geometric inequalities
2020 - Institute of Mathematical Statistics | Annales de l Institut Henri Poincaré Probabilités et Statistiques