Search Results - "Pal, Soumik"
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Concentration for multidimensional diffusions and their boundary local times
Published in Probability theory and related fields (01-10-2012)“…We prove that probability laws of certain multidimensional semimartingales which includes time-inhomogenous diffusions, under suitable assumptions, satisfy…”
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Targeting cancer-specific metabolic pathways for developing novel cancer therapeutics
Published in Frontiers in immunology (22-12-2022)“…Cancer is a heterogeneous disease characterized by various genetic and phenotypic aberrations. Cancer cells undergo genetic modifications that promote their…”
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Multiplicative Schrödinger problem and the Dirichlet transport
Published in Probability theory and related fields (01-10-2020)“…We consider an optimal transport problem on the unit simplex whose solutions are given by gradients of exponentially concave functions and prove two main…”
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CONCENTRATION OF MEASURE FOR BROWNIAN PARTICLE SYSTEMS INTERACTING THROUGH THEIR RANKS
Published in The Annals of applied probability (01-08-2014)“…We consider a finite or countable collection of one-dimensional Brownian particles whose dynamics at any point in time is determined by their rank in the…”
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Gradient Flows on Graphons: Existence, Convergence, Continuity Equations
Published in Journal of theoretical probability (01-06-2024)“…Wasserstein gradient flows on probability measures have found a host of applications in various optimization problems. They typically arise as the continuum…”
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Surfactant‐Free Shape Control of Gold Nanoparticles Enabled by Unified Theoretical Framework of Nanocrystal Synthesis
Published in Advanced materials (Weinheim) (01-06-2017)“…Gold nanoparticles have unique properties that are highly dependent on their shape and size. Synthetic methods that enable precise control over nanoparticle…”
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Floodings of metric graphs
Published in Probability theory and related fields (01-06-2020)“…We consider random labelings of finite graphs conditioned on a small fixed number of peaks. We introduce a continuum framework where a combinatorial graph is…”
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Exponentially concave functions and a new information geometry
Published in The Annals of probability (01-03-2018)Get full text
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COVID diagnostics by molecular methods: A systematic review of nucleic acid based testing systems
Published in Indian journal of medical microbiology (01-07-2021)“…The selection of appropriate kit and PCR equipment for the detection of SARS CoV-2 is critically important in view of many options available in the diagnostic…”
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Functional limit theorems for random regular graphs
Published in Probability theory and related fields (01-08-2013)“…Consider uniformly random permutation matrices on labels. Consider the sum of these matrices along with their transposes. The total can be interpreted as the…”
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Convergence rates for rank-based models with applications to portfolio theory
Published in Probability theory and related fields (01-06-2013)“…We determine rates of convergence of rank-based interacting diffusions and semimartingale reflecting Brownian motions to equilibrium. Bounds on fluctuations of…”
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A phase transition behavior for Brownian motions interacting through their ranks
Published in Probability theory and related fields (01-05-2010)“…Consider a time-varying collection of n points on the positive real axis, modeled as Exponentials of n Brownian motions whose drift vector at every time point…”
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Should more patients be offered repair for mitral valve endocarditis? a single-centre 15-year experience
Published in Journal of cardiothoracic surgery (30-09-2022)“…Abstract Objective To describe the long-term outcomes of mitral valve repair (MVr) versus mitral valve replacement (MVR) in patients with native valve…”
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Cardiac and Vascular Surgeons for the Treatment of Aortic Disease: A Successful Partnership for Decision-Making and Management of Complex Cases
Published in JIM - high impact case reports (01-01-2021)“…Traditionally, cardiac and vascular surgeons have been treating diseases of the aorta as individual specialists. Neither cardiac nor vascular surgeons have…”
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15
Community detection in the sparse hypergraph stochastic block model
Published in Random structures & algorithms (01-10-2021)“…We consider the community detection problem in sparse random hypergraphs. Angelini et al. in [6] conjectured the existence of a sharp threshold on model…”
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Shuffling cards by spatial motion
Published in Stochastic processes and their applications (01-10-2022)“…We propose a model of card shuffling where a pack of cards, spread as points on a square table, are repeatedly gathered locally at random spots and then spread…”
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Embedding optimal transports in statistical manifolds
Published in Indian journal of pure and applied mathematics (01-12-2017)“…We consider Monge-Kantorovich optimal transport problems on ℝ d , d ≥ 1, with a convex cost function given by the cumulant generating function of a probability…”
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On the difference between entropic cost and the optimal transport cost
Published in The Annals of applied probability (01-02-2024)“…Consider the Monge–Kantorovich problem of transporting densities ρ0 to ρ1 on Rd with a strictly convex cost function. A popular regularization of the problem…”
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WRIGHT—FISHER DIFFUSION WITH NEGATIVE MUTATION RATES
Published in The Annals of probability (01-03-2013)“…We study a family of n-dimensional diffusions, taking values in the unit simplex of vectors with nonnegative coordinates that add up to one. These processes…”
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SPARSE REGULAR RANDOM GRAPHS: SPECTRAL DENSITY AND EIGENVECTORS
Published in The Annals of probability (01-09-2012)“…We examine the empirical distribution of the eigenvalues and the eigenvectors of adjacency matrices of sparse regular random graphs. We find that when the…”
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