Search Results - "Parekh, Shalin"
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Limit Shape of Subpartition-Maximizing Partitions
Published in Journal of statistical physics (01-09-2020)“…This is an expository note answering a question posed to us by Richard Stanley, in which we prove a limit shape theorem for partitions of n which maximize the…”
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Hemispheric lateralization of white matter microstructure in children and its potential role in sensory processing dysfunction
Published in Frontiers in neuroscience (17-04-2023)“…Diffusion tensor imaging (DTI) studies have demonstrated white matter microstructural differences between the left and right hemispheres of the brain. However,…”
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3
The Effect of Size and Asymmetry at Birth on Brain Injury and Neurodevelopmental Outcomes in Congenital Heart Disease
Published in Pediatric cardiology (01-04-2022)“…Poor and asymmetric fetal growth have been associated with neonatal brain injury (BI) and worse neurodevelopmental outcomes (NDO) in the growth-restricted…”
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Neurite orientation dispersion and density imaging of white matter microstructure in sensory processing dysfunction with versus without comorbid ADHD
Published in Frontiers in neuroscience (10-07-2023)“…Sensory Processing Dysfunction (SPD) is common yet understudied, affecting up to one in six children with 40% experiencing co-occurring challenges with…”
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5
Accounting for deaths in neonatal trials: is there a correct approach?
Published in Archives of disease in childhood. Fetal and neonatal edition (01-05-2015)Get more information
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The KPZ Limit of ASEP with Boundary
Published in Communications in mathematical physics (01-01-2019)“…It was recently proved in Corwin and Shen (CPAM, [ CS16 ]) that under weakly asymmetric scaling, the height functions for ASEP with sources and sinks converges…”
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Correcting for prematurity affects developmental test scores in infants born late and moderately preterm
Published in Early human development (01-03-2016)“…Abstract Background Corrected age is typically applied when assessing the development of children born < 32 weeks of gestation. There is no consensus as to…”
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Convergence of ASEP to KPZ with basic coupling of the dynamics
Published in Stochastic processes and their applications (01-06-2023)“…We prove an extension of a seminal result of Bertini and Giacomin. Namely we consider weakly asymmetric exclusion processes with several distinct initial data…”
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A nonlinear Strassen Law for singular SPDEs
Published in Electronic journal of probability (01-01-2024)Get full text
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10
Positive random walks and an identity for half-space SPDEs
Published in Electronic journal of probability (01-01-2022)Get full text
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11
KPZ equation limit of sticky Brownian motion
Published in Journal of functional analysis (15-11-2024)“…We consider the motion of a particle under a continuum random environment whose distribution is given by the Howitt-Warren flow. In the moderate deviation…”
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12
Some Results in Weak KPZ Universality
Published 01-01-2022“…Stochastic partial differential equations (SPDEs) are a central object of study in the field of stochastic analysis. Their study involves a number of different…”
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Dissertation -
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Moment-based approach for two erratic KPZ scaling limits
Published 10-11-2024“…A recent paper of Tsai shows how the first few moments of a stochastic flow in the space of measures can completely determine its law. Here we give another…”
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14
A nonlinear Strassen law for singular SPDEs
Published 10-05-2024“…Electron. J. Probab. 29 1 - 42, 2024. A result of Arcones implies that if a measure-preserving linear operator $S$ on an abstract Wiener space $(X,H,\mu)$ is…”
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Brief Report: Characterization of Sensory Over-Responsivity in a Broad Neurodevelopmental Concern Cohort Using the Sensory Processing Three Dimensions (SP3D) Assessment
Published in Journal of autism and developmental disorders (01-08-2024)“…Sensory Over-Responsivity (SOR) is an increasingly recognized challenge among children with neurodevelopmental concerns (NDC). To investigate, we characterized…”
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Hierarchy of KPZ limits arising from directed random walk models in random media
Published 11-01-2024“…We consider a generalized model of random walk in dynamical random environment, and we show that the multiplicative-noise stochastic heat equation (SHE)…”
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Abstract 13113: Health-Related Quality of Life After Neonatal Treatment of Symptomatic Tetralogy of Fallot: Insights From the Congenital Cardiac Research Collaborative
Published in Circulation (New York, N.Y.) (08-11-2022)“…IntroductionHealth-related quality of life (HRQOL) is impaired for patients with chronic illnesses and critical congenital heart disease (cCHD). For…”
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Abstract 11531: Neurodevelopmental Outcomes After Neonatal Tetralogy of Fallot Repair or Palliation: Scope of The Problem and Does Treatment Strategy Matter
Published in Circulation (New York, N.Y.) (08-11-2022)“…IntroductionNeonates with symptomatic tetralogy of Fallot (sTOF) require early intervention with either staged repair (SR; initial palliation with subsequent…”
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Ergodicity results for the open KPZ equation
Published 15-12-2022“…We give a new proof of existence as well as two proofs of uniqueness of the invariant measure of the open-boundary KPZ equation on [0,1], for all possible…”
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“Atrial kissing procedure” and bilateral pulmonary artery banding—initial rescue for a high-risk newborn
Published in JTCVS techniques (01-04-2024)Get full text
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