Search Results - "Parekh, Shalin"

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    Limit Shape of Subpartition-Maximizing Partitions by Corwin, Ivan, Parekh, Shalin

    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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    Journal Article
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    Hemispheric lateralization of white matter microstructure in children and its potential role in sensory processing dysfunction by Parekh, Shalin A, Wren-Jarvis, Jamie, Lazerwitz, Maia, Rowe, Mikaela A, Powers, Rachel, Bourla, Ioanna, Cai, Lanya T, Chu, Robyn, Trimarchi, Kaitlyn, Garcia, Rafael, Marco, Elysa J, Mukherjee, Pratik

    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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    Journal Article
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    The Effect of Size and Asymmetry at Birth on Brain Injury and Neurodevelopmental Outcomes in Congenital Heart Disease by Parekh, Shalin A., Cox, Stephany M., Barkovich, A. James, Chau, Vann, Steurer, Martina A., Xu, Duan, Miller, Steven P., McQuillen, Patrick S., Peyvandi, Shabnam

    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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    Journal Article
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    Neurite orientation dispersion and density imaging of white matter microstructure in sensory processing dysfunction with versus without comorbid ADHD by Mark, Ian T, Wren-Jarvis, Jamie, Xiao, Jaclyn, Cai, Lanya T, Parekh, Shalin, Bourla, Ioanna, Lazerwitz, Maia C, Rowe, Mikaela A, Marco, Elysa J, Mukherjee, Pratik

    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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    Journal Article
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    The KPZ Limit of ASEP with Boundary by Parekh, Shalin

    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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    Journal Article
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    Correcting for prematurity affects developmental test scores in infants born late and moderately preterm by Parekh, Shalin A, Boyle, Elaine M, Guy, Alexa, Blaggan, Samarita, Manktelow, Bradley N, Wolke, Dieter, Johnson, Samantha

    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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    Journal Article
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    Convergence of ASEP to KPZ with basic coupling of the dynamics by Parekh, Shalin

    “…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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    Journal Article
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    KPZ equation limit of sticky Brownian motion by Das, Sayan, Drillick, Hindy, Parekh, Shalin

    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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    Journal Article
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    Some Results in Weak KPZ Universality by Parekh, Shalin

    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 by Parekh, Shalin

    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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    Journal Article
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    A nonlinear Strassen law for singular SPDEs by Parekh, Shalin

    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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    Journal Article
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    Hierarchy of KPZ limits arising from directed random walk models in random media by Parekh, Shalin

    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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    Journal Article
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    Ergodicity results for the open KPZ equation by Parekh, Shalin

    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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    Journal Article
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