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The radial spanning tree of a Poisson point processMar 01 2007We analyze a class of spatial random spanning trees built on a realization of a homogeneous Poisson point process of the plane. This tree has a simple radial structure with the origin as its root. We first use stochastic geometry arguments to analyze ... More

Stationary flows and uniqueness of invariant measuresFeb 13 2007In this short paper, we consider a quadruple $(\Omega, \AA, \theta, \mu)$,where $\AA$ is a $\sigma$-algebra of subsets of $\Omega$, and $\theta$ is a measurable bijection from $\Omega$ into itself that preserves the measure $\mu$. For each $B \in \AA$, ... More

Delay Comparison of Delivery and Coding Policies in Data ClustersJun 07 2017Jun 09 2017A key function of cloud infrastructure is to store and deliver diverse files, e.g., scientific datasets, social network information, videos, etc. In such systems, for the purpose of fast and reliable delivery, files are divided into chunks, replicated ... More

Stability and Metastability of Traffic Dynamics in Uplink Random Access NetworksJun 11 2019We characterize the stability, metastability, and the stationary regime of traffic dynamics in a single-cell uplink wireless system. The traffic is represented in terms of spatial birth-death processes, in which users arrive as a Poisson point process ... More

On Association Cells in Random Heterogeneous NetworksOct 04 2013Characterizing user to access point (AP) association strategies in heterogeneous cellular networks (HetNets) is critical for their performance analysis, as it directly influences the load across the network. In this letter, we introduce and analyze a ... More

Spatial Birth-Death Wireless NetworksApr 26 2016May 02 2016We propose and study a novel continuous space-time model for wireless networks which takes into account the stochastic interactions in both space through interference and in time due to randomness in traffic. Our model consists of an interacting particle ... More

Poisson Hail on a Hot GroundMay 10 2011We consider a queue where the server is the Euclidean space, and the customers are random closed sets (RACS) of the Euclidean space. These RACS arrive according to a Poisson rain and each of them has a random service time (in the case of hail falling ... More

Information-Theoretic Capacity and Error Exponents of Stationary Point Processes under Random Additive DisplacementsDec 22 2010This paper studies the Shannon regime for the random displacement of stationary point processes. Let each point of some initial stationary point process in $\R^n$ give rise to one daughter point, the location of which is obtained by adding a random vector ... More

Spatial Birth-Death Wireless NetworksApr 26 2016Dec 12 2016We propose and study a novel continuous space-time model for wireless networks which takes into account the stochastic interactions in both space through interference and in time due to randomness in traffic. Our model consists of an interacting particle ... More

On the Effect of Shadowing Correlation on Wireless Network PerformanceDec 04 2017We propose and analyze a new shadowing field model meant to capture spatial correlations. The interference field associated with this new model is compared to that of the widely used independent shadowing model. Independent shadowing over links is adopted ... More

Coverage by Pairwise Base Station Cooperation under Adaptive Geometric PoliciesNov 21 2013We study a cooperation model where the positions of base stations follow a Poisson point process distribution and where Voronoi cells define the planar areas associated with them. For the service of each user, either one or two base stations are involved. ... More

Moments and tails in monotone-separable stochastic networksMay 14 2004A network belongs to the monotone separable class if its state variables are homogeneous and monotone functions of the epochs of the arrival process. This framework, which was first introduced to derive the stability region for stochastic networks with ... More

A Stochastic Geometry Framework for Analyzing Pairwise-Cooperative Cellular NetworksMay 27 2013Cooperation in cellular networks has been recently suggested as a promising scheme to improve system performance, especially for cell-edge users. In this work, we use stochastic geometry to analyze cooperation models where the positions of Base Stations ... More

Gibbsian Method for the Self-Optimization of Cellular NetworksJul 16 2012Aug 08 2012In this work, we propose and analyze a class of distributed algorithms performing the joint optimization of radio resources in heterogeneous cellular networks made of a juxtaposition of macro and small cells. Within this context, it is essential to use ... More

Iterated Gilbert Mosaics and Poisson Tropical Plane CurvesOct 26 2016We propose an iterated version of the Gilbert model, which results in a sequence of random mosaics of the plane. We prove that under appropriate scaling, this sequence of mosaics converges to that obtained by a classical Poisson line process with explicit ... More

Generating Functionals of Random Packing Point Processes: From Hard-Core to Carrier SensingFeb 01 2012Apr 22 2012In this paper we study the generating functionals of several random packing processes: the classical Mat\'ern hard-core model; its extensions, the $k$-Mat\'ern models and the $\infty$-Mat\'ern model, which is an example of random sequential packing process. ... More

Zeros of random tropical polynomials, random polytopes and stick-breakingMar 30 2014For $i = 0, 1, \ldots, n$, let $C_i$ be independent and identically distributed random variables with distribution $F$ with support $(0,\infty)$. The number of zeros of the random tropical polynomials $\mathcal{T}f_n(x) = \min_{i=1,\ldots,n}(C_i + ix)$ ... More

Community Detection on Euclidean Random GraphsJun 29 2017Apr 11 2018We study the problem of community detection (CD) on Euclidean random geometric graphs where each vertex has two latent variables: a binary community label and a $\mathbb{R}^d$ valued location label which forms the support of a Poisson point process of ... More

Stochastic Geometry based Medium Access Games in Mobile Ad hoc NetworksDec 16 2011Jan 04 2012This paper studies the performance of Mobile Ad hoc Networks (MANETs) when the nodes, that form a Poisson point process, selfishly choose their Medium Access Probability (MAP). We consider goodput and delay as the performance metric that each node is ... More

Interference Networks with Point-to-Point CodesFeb 14 2011The paper establishes the capacity region of the Gaussian interference channel with many transmitter-receiver pairs constrained to use point-to-point codes. The capacity region is shown to be strictly larger in general than the achievable rate regions ... More

Scaling Laws for Ergodic Spectral Efficiency in MIMO Poisson NetworksAug 22 2016In this paper, we examine the benefits of multiple antenna communication in random wireless networks, the topology of which is modeled by stochastic geometry. The setting is that of the Poisson bipolar model introduced in [1], which is a natural model ... More

A 3-D Spatial Model for In-building Wireless Networks with Correlated ShadowingMar 23 2016Consider orthogonal planes in the 3-D space representing floors and walls in a large building. These planes divide the space into rooms where a wireless infrastructure is deployed. This paper is focused on the analysis of the correlated shadowing field ... More

A Unified Asymptotic Analysis of Area Spectral Efficiency in Ultradense Cellular NetworksDec 20 2017Apr 11 2018This paper studies the asymptotic properties of average area spectral efficiency (ASE) of a downlink cellular network in the limit of very dense base station (BS) and user densities. This asymptotic analysis relies on three assumptions: (1) interference ... More

Performance-Oriented Association in Large Cellular Networks with Technology DiversityMar 22 2016The development of mobile virtual network operators, where multiple wireless technologies (e.g. 3G and 4G) or operators with non-overlapping bandwidths are pooled and shared is expected to provide enhanced service with broader coverage, without incurring ... More

On Spatial Point Processes with Uniform Births and Deaths by Random ConnectionAug 29 2014This paper is focused on a class of spatial birth and death process of the Euclidean space where the birth rate is constant and the death rate of a given point is the shot noise created at its location by the other points of the current configuration ... More

Renewal Population Dynamics and their Eternal Family TreesMar 21 2018Based on a simple object, an i.i.d. sequence of positive integer-valued random variables, $\{a_n\}_{n\in \mathbb{Z}}$, we introduce and study two random structures and their connections. First, a population dynamics, in which each individual is born at ... More

Series Expansion for Interference in Wireless NetworksJan 20 2011The spatial correlations in transmitter node locations introduced by common multiple access protocols makes the analysis of interference, outage, and other related metrics in a wireless network extremely difficult. Most works therefore assume that nodes ... More

Spectral Efficiency Scaling Laws in Dense Random Wireless Networks with Multiple Receive AntennasOct 28 2014This paper considers large random wireless networks where transmit-and-receive node pairs communicate within a certain range while sharing a common spectrum. By modeling the spatial locations of nodes based on stochastic geometry, analytical expressions ... More

Optimal Paths on the Space-Time SINR Random GraphNov 19 2009We analyze a class of Signal-to-Interference-and-Noise-Ratio (SINR) random graphs. These random graphs arise in the modeling packet transmissions in wireless networks. In contrast to previous studies on the SINR graphs, we consider both a space and a ... More

A Tractable Approach to Coverage and Rate in Cellular NetworksSep 02 2010Feb 21 2011Cellular networks are usually modeled by placing the base stations on a grid, with mobile users either randomly scattered or placed deterministically. These models have been used extensively but suffer from being both highly idealized and not very tractable, ... More

Directional Cell Search Delay Analysis for Cellular Networks with Static UsersSep 04 2017Cell search is the process for a user to detect its neighboring base stations (BSs) and make a cell selection decision. Due to the importance of beamforming gain in millimeter wave (mmWave) and massive MIMO cellular networks, the directional cell search ... More

End-to-End Optimization of High Throughput DNA SequencingAug 04 2015At the core of high throughput DNA sequencing platforms lies a bio-physical surface process that results in a random geometry of clusters of homogenous short DNA fragments typically hundreds of base pairs long - bridge amplification. The statistical properties ... More

Analysis of Data Harvesting by Unmanned Aerial VehiclesFeb 17 2019This paper explores an emerging wireless architecture based on Unmanned Aerial Vehicles (UAVs), i.e., drones. We consider a network where UAVs at fixed altitude harvest data from Internet-of-Things (IoT) devices on the ground. In such a system, the UAVs' ... More

Design and Analysis of Initial Access in Millimeter Wave Cellular NetworksSep 19 2016Initial access is the process which allows a mobile user to first connect to a cellular network. It consists of two main steps: cell search (CS) on the downlink and random access (RA) on the uplink. Millimeter wave (mmWave) cellular systems typically ... More

Modeling and Analyzing the Coexistence of Wi-Fi and LTE in Unlicensed SpectrumOct 05 2015Feb 19 2016We leverage stochastic geometry to characterize key performance metrics for neighboring Wi-Fi and LTE networks in unlicensed spectrum. Our analysis focuses on a single unlicensed frequency band, where the locations for the Wi-Fi access points (APs) and ... More

Modeling and Analysis of K-Tier Downlink Heterogeneous Cellular NetworksMar 11 2011Dec 23 2012Cellular networks are in a major transition from a carefully planned set of large tower-mounted base-stations (BSs) to an irregular deployment of heterogeneous infrastructure elements that often additionally includes micro, pico, and femtocells, as well ... More

Design and Analysis of Initial Access in Millimeter Wave Cellular NetworksSep 19 2016Mar 24 2017Initial access is the process which allows a mobile user to first connect to a cellular network. It consists of two main steps: cell search (CS) on the downlink and random access (RA) on the uplink. Millimeter wave (mmWave) cellular systems typically ... More

Decomposition of the Diagonal Action of S_n on the Coinvariant Space of S_n x S_nJun 27 2004The purpose of this paper is to give an explicit description of the irreducible decomposition of the multigraded S_n-module of coinvariants of S_n x S_n. Many of the results presented can be extended to analogous questions for other finite reflection ... More

Globular Cluster Formation in MergersJun 01 2006Mergers of gas-rich galaxies lead to gravitationally driven increases in gas pressure that can trigger intense bursts of star and cluster formation. Although star formation itself is clustered, most newborn stellar aggregates are unbound associations ... More

Young Globular ClustersJun 29 1999Star formation in starbursts appears to be biased toward compact clusters, with up to 20% of all stars formed in them. Observations with HST show that many of these clusters have luminosities (-9 > Mv > -16), UBVI colors, and half-light radii (R_eff = ... More

Analyticity of the entropy for some random walksSep 27 2010Dec 13 2010We consider non-degenerate, finitely supported random walks on a free group. We show that the entropy and the linear drift vary analytically with th eprobability of constant support.

The reach of a future Linear Collider after the g-2 resultApr 11 2001Combining the cosmological requirement on dark matter with the recent BNL g-2 measurement it is argued that, within the mSUGRA framework, the preferred region for SUSY mass parameters falls well inside the area covered by the future linear colliders under ... More

Scenarios for ILC in 2010Jul 25 2007Assuming that first significant results from LHC become available, this presentation assumes 4 different scenarios and discuss the implications for ILC

A Riemann-Roch Theorem for dg AlgebrasApr 02 2010Nov 19 2012Given a smooth proper dg-algebra $A$, a perfect dg $A$-module $M$, and an endomorphism $f$ of $M$, we define the Hochschild class of the pair $(M,f)$ with values in the Hochschild homology of $A$. Our main result is a Riemann-Roch type formula involving ... More

Constraints on quark energy loss from Drell-Yan dataJan 09 2002Feb 20 2002A leading-order analysis of E866/NuSea and NA3 Drell-Yan data in nuclei is carried out. At Fermilab energy, the large uncertainties in the amount of sea quark shadowing prohibit clarifying the origin of the nuclear dependence observed experimentally. ... More

QCD calculations of thermal photon and dilepton productionSep 06 2002In this talk, I review new developments of QCD calculations of photon and dilepton production rates in a Quark-Gluon plasma. All the rates are now known up to $O(\alpha_s)$ both for photons and dileptons, thanks to the resummation of multiple scatterings. ... More

A new approach for the vertical part of the contour in thermal field theoriesJan 11 1999A lot of work has been devoted in the past to understand the role of vertical branch of the time path in thermal field theories, and in particular to see how to deal with it in the real-time formalism. Unlike what is commonly believed, I emphasize on ... More

Photons, dileptons and hard thermal loopsMay 20 1997The production rate of soft real photons or soft lepton pairs by a hot QCD plasma is dominated by strong collinear divergences. As a consequence, it appears that the effective theory based on the resummation of hard thermal loops fails to handle properly ... More

Crosstalk between nanotube devices: contact and channel effectsJan 31 2006At reduced dimensionality, Coulomb interactions play a crucial role in determining device properties. While such interactions within the same carbon nanotube have been shown to have unexpected properties, device integration and multi-nanotube devices ... More

Multi-spectral piston sensor for co-phasing giant segmented mirrors and multi-aperture interferometric arraysAug 27 2009This paper presents the optical design of a multi-spectral piston sensor suitable to co-phasing giant segmented mirrors equipping the Future Extremely Large Telescopes (ELTs). The general theory of the sensor is described in detail and numerical simulations ... More

Computing extinction maps of star nulling interferometersFeb 14 2008Herein is discussed the performance of spaceborne nulling interferometers searching for extra-solar planets, in terms of their extinction maps projected on-sky. In particular, it is shown that the designs of Spatial Filtering (SF) and Achromatic Phase ... More

Fully achromatic nulling interferometer (FANI) for high SNR exoplanet characterizationAug 29 2015Space-borne nulling interferometers have long been considered as the best option for searching and characterizing extra-solar planets located in the habitable zone of their parent stars. Solutions for achieving deep starlight extinction are now numerous ... More

Can violations of Bell's inequalities be considere as the final proof of quantum physics ?Oct 09 2013Nowadays, it is commonly admitted that the experimental violation of Bell's inequalities that was successfully demonstrated in the last decades by many experimenters, are indeed the ultimate proof of quantum physics and of its ability to describe the ... More

Simple Fourier optics formalism for high angular resolution systems and nulling interferometryApr 24 2009Aug 27 2009In this paper are reviewed various designs of advanced, multi-aperture optical systems dedicated to high angular resolution imaging or to the detection of exo-planets by nulling interferometry. A simple Fourier optics formalism applicable to both imaging ... More

Signal-to-noise ratio of phase sensing telescope interferometersFeb 14 2008This paper is the third part of a trilogy dealing with the principles, performance and limitations of what I named "Telescope-Interferometers" (TIs). The basic idea consists in transforming one telescope into a Wavefront Error (WFE) sensing device. This ... More

Supersymetrie et mathematiquesMay 16 1994May 17 1994Nous presentons une introduction aux concepts de la supersymetrie par l'intermediaire de trois exemples: (i) Mecanique quantique supersymetrique, (ii) Superalgebres de Lie, (iii) Superconnexions de Quillen. Les points communs a toutes ces notions sont ... More

Indecomposable injective modules of finite Malcev rank over local commutative ringsAug 29 2011Feb 06 2014It is proven that each indecomposable injective module over a valuation domain $R$ is polyserial if and only if each maximal immediate extension $\widehat{R}$ of $R$ is of finite rank over the completion $\widetilde{R}$ of $R$ in the $R$-topology. In ... More

Local rings of bounded module type are almost maximal valuation ringsSep 28 2004Oct 04 2005It is shown that every commutative local ring of bounded module type is an almost maximal valuation ring.

(Generalized) Post Correspondence Problem and semi-Thue systemsFeb 06 2008Nov 12 2008Let PCP(k) denote the Post Correspondence Problem for k input pairs of strings. Let ACCESSIBILITY(k) denote the the word problem for k-rule semi-Thue systems. In 1980, Claus showed that if ACCESSIBILITY(k) is undecidable then PCP(k + 4) is also undecidable. ... More

A generating algorithm for ribbon tableaux and spin polynomialsNov 27 2006We describe a general algorithm for generating various families of ribbon tableaux and computing their spin polynomials. This algorithm is derived from a new matricial coding. An advantage of this new notation lies in the fact that it permits one to generate ... More

Commutative rings whose finitely generated ideals are quasi-flatNov 03 2016A definition of quasi-flat left module is proposed and it is shown that any left module which is either quasi-projective or flat is quasi-flat. A characterization of local commutative rings for which each ideal is quasi-flat (resp. quasi-projective) is ... More

Weak dimension of FP-injective modules over chain ringsJan 06 2016It is proven that the weak dimension of each FP-injective module over a chain ring which is either Archimedean or not semicoherent is less or equal to 2.

Gaussian trivial ring extensions and fqp-ringsJul 08 2015Let A be a commutative ring and E a non-zero A-module. Necessary and sufficient conditions are given for the trivial ring extension R of A by E to be either arithmetical or Gaussian. The possibility for R to be B{\'e}zout is also studied, but a response ... More

Commutative rings whose cotorsion modules are pure-injectiveJun 09 2015Mar 24 2016Let R be a ring (not necessarily commutative). A left R-module is said to be cotorsion if Ext 1 R (G, M) = 0 for any flat R-module G. It is well known that each pure-injective left R-module is cotorsion, but the converse does not hold: for instance, if ... More

Ren{é} Thom and an anticipated h-principleMar 23 2017Apr 10 2017The first part of this article intends to present the role played by Thom in diffusing Smale's ideas about immersion theory, at a time (1957) where some famous mathematicians were doubtful about them: it is clearly impossible to make the sphere inside ... More

A Morse complex on manifolds with boundaryMar 26 2010May 31 2010Given a compact smooth manifold $M$ with non-empty boundary and a Morse function, a pseudo-gradient Morse-Smale vector field adapted to the boundary allows one to build a Morse complex whose homology is isomorphic to the (absolute or relative to the boundary) ... More

Best Signal Quality in Cellular Networks: Asymptotic Properties and Applications to Mobility Management in Small Cell NetworksFeb 03 2015The quickly increasing data traffic and the user demand for a full coverage of mobile services anywhere and anytime are leading mobile networking into a future of small cell networks. However, due to the high-density and randomness of small cell networks, ... More

On the existence of two-dimensional nonlinear steady states in plane Couette flowJun 08 2007The problem of two-dimensional steady nonlinear dynamics in plane Couette flow is revisited using homotopy from either plane Poiseuille flow or from plane Couette flow perturbed by a small symmetry-preserving identity operator. Our results show that it ... More

Arbitrariness of peer review: A Bayesian analysis of the NIPS experimentJul 23 2015The principle of peer review is central to the evaluation of research, by ensuring that only high-quality items are funded or published. But peer review has also received criticism, as the selection of reviewers may introduce biases in the system. In ... More

Straight thin combingsJun 30 2004We introduce a class of thin combings and prove that it has a nice behaviour in free constructions. Among corollaries, we deduce the relative metabolicity, in the sense of Gersten, of Sela's limit groups.

Ab initio Molecular Dynamics in Adaptive CoordinatesMar 14 1995Mar 31 1995We present a new formulation of ab initio molecular dynamics which exploits the efficiency of plane waves in adaptive curvilinear coordinates, and thus provides an accurate treatment of first-row elements. The method is used to perform a molecular dynamics ... More

Interactions as a Driver of Galaxy EvolutionFeb 12 2000Gravitational interactions and mergers are shaping and reshaping galaxies throughout the observable universe. While observations of interacting galaxies at low redshifts yield detailed information about the processes at work, observations at high redshifts ... More

Overview: Low-z Observations of Interacting and Merging GalaxiesDec 01 1997Gravitational interactions and mergers affect the morphologies and dynamics of galaxies from our Local Group to the limits of the observable universe. Observations of interacting galaxies at low redshifts (z < 0.2) yield detailed information about many ... More

Physics of the linear colliderDec 01 2003This presentation intends to illustrate the specific capabilities of an e$^+$e$^-$ sub-TeV collider to provide answers on the basic issues in physics: origin of mass, hierarchy of masses, cosmological problems. Some foreseeable scenarios are discussed ... More

The Codimension-Three conjecture for holonomic DQ-modulesJun 27 2014Dec 02 2014We prove an analogue for holonomic DQ-modules of the codimension-three conjecture for microdifferential modules recently proved by Kashiwara and Vilonen. Our result states that any holonomic DQ-module having a lattice extends uniquely beyond an analytic ... More

DG Affinity of DQ-modulesMar 01 2011Mar 05 2011In this paper, we prove the dg affinity of formal deformation algebroid stacks over complex smooth algebraic varieties. For that purpose, we introduce the triangulated category of formal deformation modules which are cohomologically complete and whose ... More

Photon-tagged correlations in heavy-ion collisions: kinematic requirements and a case studyJan 24 2007Photon-tagged correlations may be useful to determine how the dense partonic medium produced in heavy-ion collisions affects the fragmentation of high-energy quarks and gluons into a leading hadron. In these proceedings, I discuss the kinematic requirements ... More

Quenching of hadron spectra in DIS on nuclear targetsJun 24 2003Jul 02 2003The multiple scatterings incurred by a hard quark produced in a nuclear medium induce the emission of soft gluons which carry a fraction of the quark energy and eventually affect the hadronization process. Here, the depletion of semi-inclusive hadron ... More

Quantum physics and the beam splitter mysterySep 01 2015Optical lossless beam splitters are frequently encountered in fundamental physics experiments regarding the nature of light, including "which-way" determination of light particles, N. Bohr's complementarity principle, or the EPR paradox and all their ... More

QCD at small x and nucleus-nucleus collisionsJan 26 2007At large collision energy sqrt(s) and relatively low momentum transfer Q, one expects a new regime of Quantum Chromo-Dynamics (QCD) known as "saturation". This kinematical range is characterized by a very large occupation number for gluons inside hadrons ... More

Quasi-real photon production in thermal QCDSep 14 1998Oct 12 1998In this proceedings, I consider two-loop contributions to real photon production in thermal QCD. If the photon is strictly massless, strong collinear divergences appear in this calculation. These singularities are regularized by the quark thermal mass ... More

Ambiguities in the zero momentum limit of the thermal $π^oγγ$ triangle diagramJun 19 1998Modifications of the $\pi^o\to 2\gamma$ decay amplitude by thermal effects have already been considered by several authors, leading to quite different results. I consider in this paper the triangle diagram connecting a neutral pion to two photons in a ... More

Cutting rules in the real time formalisms at finite temperatureJan 29 1997In this paper, we review the set of rules specific to the calculation of the imaginary part of a Green's function at finite temperature in the real-time formalisms. Emphasis is put on the clarification of a recent controversy concerning these rules in ... More

Enhanced photon production near the light-cone by a hot plasmaAug 23 1996Strong collinear divergences, although regularized by a thermal mass, result in a breakdown of the standard hard thermal loop expansion in the calculation of the production rate of photons by a plasma of quarks and gluons using thermal field theory techniques. ... More

Commutative Local Rings of bounded module typeSep 28 2004It is shown that a local ring R of bounded module type is an almost maximal valuation ring if there exists a non-maximal prime ideal J such that R/J is a maximal valuation domain.

Modules with RD-composition series over a commutative ringSep 27 2004If R is a commutative ring, we prove that every finitely generated module has a pure-composition series with indecomposable factors and any two such series are isomorphic if and only if R is a Bezout ring and a CF-ring.

A simple, polynomial-time algorithm for the matrix torsion problemJun 12 2008Sep 08 2009The Matrix Torsion Problem (MTP) is: given a square matrix M with rational entries, decide whether two distinct powers of M are equal. It has been shown by Cassaigne and the author that the MTP reduces to the Matrix Power Problem (MPP) in polynomial time: ... More

Affine Dunkl processesOct 18 2010We introduce the analogue of Dunkl processes in the case of an affine root system of type $\widetilde{\text{A}}_1$. The construction of the affine Dunkl process is achieved by a skew-product decomposition by means of its radial part and a jump process ... More

On the codimension-one foliation theorem of W. ThurstonSep 18 2006Jan 08 2007This article has been withdrawn due to a mistake which is explained in version 2.

On an article by S. A. BarannikovSep 11 2015Nov 23 2015Given a Morse function f on a closed manifold M with distinct critical values, and given a field F, there is a canonical complex, called the Morse-Barannikov complex, which is equivalent to any Morse complex associated with f and whose form is simple. ... More

Floer homology of fibrations I: Representing flow lines in Moore path spacesSep 11 2017In their previous work, Barraud and Cornea enriched the Lagrangian Floer complex by adding cubical chains in the based loop space of the Lagrangian, and recovered the Leray-Serre spectral sequence of the based path space fibration, assuming that the Lagrangian ... More

A geometric refinement of a theorem of ChekanovNov 01 2010Jul 20 2011We prove a conjecture of Barraud and Cornea in the monotone setting, refining a result of Chekanov on the Hofer distance between two Hamiltonian isotopic Lagrangian submanifolds.

Almost clean rings and arithmetical ringsJan 13 2009Oct 14 2009It is shown that a commutative B\'ezout ring $R$ with compact minimal prime spectrum is an elementary divisor ring if and only if so is $R/L$ for each minimal prime ideal $L$. This result is obtained by using the quotient space $\mathrm{pSpec} R$ of the ... More

Finitely presented modules over semihereditary ringsSep 28 2004Oct 03 2007One proves that each almost local-global semihereditary ring has the stacked basis property and is almost Bezout. If M is a finitely presented module, its torsion part tM is a direct sum of cyclic modules where the family of annhilators is an ascending ... More

Localization of injective modules over arithmetical ringsApr 17 2007Oct 13 2009It is proved that localizations of injective $R$-modules of finite Goldie dimension are injective if $R$ is an arithmetical ring satisfying the following condition: for every maximal ideal $P$, $R_P$ is either coherent or not semicoherent. If, in addition, ... More

One-sided asymptotically mean stationary channelsMar 26 2014This paper proposes an analysis of asymptotically mean stationary (AMS) communication channels. A hierarchy based on stability properties (stationarity, quasi-stationarity, recurrence and asymptotically mean stationarity) of channels is identified. Stationary ... More

Strong cleanness of matrix rings over commutative ringsApr 08 2008Let $R$ be a commutative local ring. It is proved that $R$ is Henselian if and only if each $R$-algebra which is a direct limit of module finite $R$-algebras is strongly clean. So, the matrix ring $\mathbb{M}_n(R)$ is strongly clean for each integer $n>0$ ... More

Combinatorics of r-Dyck paths, r-Parking functions, and the r-Tamari latticesFeb 28 2012Mar 03 2012This paper's aim is to present recent combinatorial considerations on r-Dyck paths, r-Parking functions, and the r-Tamari lattices. Giving a better understanding of the combinatorics of these objects has become important in view of their (conjectural) ... More

Merger-Induced StarburstsFeb 04 2005Extragalactic starbursts induced by gravitational interactions can now be studied from z = ~0 to ~2. The evidence that mergers of gas-rich galaxies tend to trigger galaxy-wide starbursts is strong, both statistically and in individual cases of major disk-disk ... More

Evolution of Globular Clusters Formed in MergersJun 20 2001Globular clusters formed in galactic mergers (e.g., The Antennae) can now be studied at different stages of their evolution. In young merger remnants (e.g., NGC 7252) these "second-generation" globulars appear by the hundreds as young halo clusters of ... More