Search Results - "Kirkpatrick, Kay"

Biological computation: hearts and flytraps by Kirkpatrick, Kay L.

“…The original computers were people using algorithms to get mathematical results such as rocket trajectories. After the invention of the digital computer,…”
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Are microtubules electron-based topological insulators? by Subramanyan, Varsha, Kirkpatrick, Kay L., Vishveshwara, Saraswathi, Vishveshwara, Smitha

“…A microtubule is a cylindrical biological polymer that plays key roles in cellular structure, transport, and signalling. In this work, based on studies of…”
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Fractional Schrödinger dynamics and decoherence by Kirkpatrick, Kay, Zhang, Yanzhi

“…We study the dynamics of the Schrödinger equation with a fractional Laplacian (−Δ)α, and the decoherence of the solution is observed. Analytically, we obtain…”
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On the Continuum Limit for Discrete NLS with Long-Range Lattice Interactions by Kirkpatrick, Kay, Lenzmann, Enno, Staffilani, Gigliola

“…We consider a general class of discrete nonlinear Schrödinger equations (DNLS) on the lattice with mesh size h > 0. In the continuum limit when h → 0, we prove…”
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Asymptotics of Mean-Field O(N) Models by Kirkpatrick, Kay, Nawaz, Tayyab

“…We study mean-field classical N -vector models, for integers N ≥ 2 . We use the theory of large deviations and Stein’s method to study the total spin and its…”
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Advocacy and the Hand Surgeon: Why and How by Kirkpatrick, Kay, Gurman, Andrew

“…This article explains and gives examples of the importance of political advocacy for hand surgeons at the federal and state levels. Two health care leaders who…”
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Advocacy and the Hand Surgeon by Kirkpatrick, Kay, Gurman, Andrew

“…This article explains and gives examples of the importance of political advocacy for hand surgeons at the federal and state levels. Two health care leaders who…”
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A Large Deviation Principle in Many-Body Quantum Dynamics by Kirkpatrick, Kay, Rademacher, Simone, Schlein, Benjamin

“…We consider the many-body quantum evolution of a factorized initial data, in the mean-field regime. We show that fluctuations around the limiting Hartree…”
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Probabilistic Methods for Discrete Nonlinear Schrödinger Equations by Chatterjee, Sourav, Kirkpatrick, Kay

“…We show that the thermodynamics of the focusing cubic discrete nonlinear Schrödinger equation are exactly solvable in dimension 3 and higher. A number of…”
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Asymptotics of the Mean-Field Heisenberg Model by Kirkpatrick, Kay, Meckes, Elizabeth

“…We consider the mean-field classical Heisenberg model and obtain detailed information about the total spin of the system by studying the model on a complete…”
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A Central Limit Theorem in Many-Body Quantum Dynamics by Arous, Gérard Ben, Kirkpatrick, Kay, Schlein, Benjamin

“…We study the many body quantum evolution of bosonic systems in the mean field limit. The dynamics is known to be well approximated by the Hartree equation. So…”
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Quantum groups and generalized circular elements by Brannan, Michael, Kirkpatrick, Kay

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DERIVATION OF THE TWO-DIMENSIONAL NONLINEAR SCHRÖDINGER EQUATION FROM MANY BODY QUANTUM DYNAMICS by Kirkpatrick, Kay, Schlein, Benjamin, Staffilani, Gigliola

“…We derive rigorously, for both ℝ² and [−L, L] ×2 , the cubic nonlinear Schrödinger equation in a suitable scaling limit from the two-dimensional many-body Bose…”
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Patient Safety Movement: History and Future Directions by Lark, Meghan E., Kirkpatrick, Kay, Chung, Kevin C.

“…Despite progress within the past 15 years, improving patient safety in health care remains an important public health issue. The history of safety policies,…”
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Phase Transition for Discrete Non Linear Schr\"odinger Equation in Three and Higher Dimensions by Dey, Partha S, Kirkpatrick, Kay, Krishnan, Kesav

“…We analyze the thermodynamics of the focusing discrete nonlinear Schr\"odinger equation in dimensions $d\ge 3$ with general nonlinearity $p>1$ and under a…”
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A large deviation principle in many-body quantum dynamics by Kirkpatrick, Kay, Rademacher, Simone, Schlein, Benjamin

“…We consider the many-body quantum evolution of a factorized initial data, in the mean-field regime. We show that fluctuations around the limiting Hartree…”
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Analysis of Bose-Einstein condensation times for self-interacting scalar dark matter by Kirkpatrick, Kay, Mirasola, Anthony E, Prescod-Weinstein, Chanda

“…Phys. Rev. D 106, 043512 (2022) We investigate the condensation time of self-interacting axion-like particles in a gravitational well, extending the prior work…”
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Microtubules as electron-based topological insulators by Subramanyan, Varsha, Kirkpatrick, Kay L, Vishveshwara, Saraswathi, Vishveshwara, Smitha

“…Europhysics Letters, Volume 143, Number 4, 46001 (2023) The microtubule is a cylindrical biological polymer that plays key roles in cellular structure,…”
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Critical behavior of mean-field XY and related models by Kirkpatrick, Kay, Nawaz, Tayyab

“…We discuss spin models on complete graphs in the mean-field (infinite-vertex) limit, especially the classical XY model, the Toy model of the Higgs sector, and…”
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Asymptotics of mean-field $O(N)$ models by Kirkpatrick, Kay, Nawaz, Tayyab

“…We study mean-field classical $N$-vector models, for integers $N\ge 2$. We use the theory of large deviations and Stein's method to study the total spin and…”
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