1.
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Our article is motivated by the vanishing condition of minimal volume of closed smooth manifolds $M$ that admit locally homogeneous Riemannian metric.We give a complete c [...]
2024-03 |
Mathematics |
Dissertation |
|
2.
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<p>Networks of neurons produce diverse patterns of oscillations, arising from the network's global properties, the propensity of individual neurons to oscillate, or [...]
06 May 2011 |
Mathematics; Pediatrics |
Article |
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3.
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<p>The remarkable advance in sequencing technology and the rising interest in medical and environmental microbiology, biotechnology, and synthetic biology resulted [...]
24 October 2012 |
Computer Science; Mathematics |
Article |
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4.
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<p>To date, variation in nectar chemistry of flowering plants has not been studied in detail. Such variation exerts considerable influence on pollinator–plant int [...]
01 May 2015 |
Computer Science; Mathematics |
Article |
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5.
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<p>Neuronal avalanches are a form of spontaneous activity widely observed in cortical slices and other types of nervous tissue, both <em>in vivo</em> an [...]
08 July 2010 |
Mathematics; Pediatrics |
Article |
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6.
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In 1974, Gugenheim and May showed that the cohomology $\Ext_A(R,R)$ of a connected augmented algebra over a field $R$ is generated by elements with $s = 1$ under matric M [...]
2023-12 |
Mathematics |
Dissertation |
|
7.
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We establish an analogy between the Fokker–Planck equation describing evolutionary landscape dynamics and the Schrödinger equation which characterizes quantum mechanic [...]
31 October 2023 |
Mathematics |
Article |
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8.
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No abstract
03 March 1936 |
Astronomy and Astrophysics; Mathematics |
Patent |
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9.
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A method for determining a matrix of expression levels corresponding to a set of biological targets (e.g., genes or gene fragments) and a set of biological samples, inclu [...]
18 April 2006 |
Computer Science; Mathematics; Sociology; Medicine |
Patent |
|
10.
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A method for determining a matrix of expression levels corresponding to a set of biological targets (e.g., genes or gene fragments) and a set of biological samples, inclu [...]
22 January 2004 |
Computer Science; Mathematics; Sociology; Medicine |
Patent |
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11.
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A power swivel provides the rotational force to drill consolidated subsurface strata while an unrestricted airflow through the swivel and down a drill string remove cutti [...]
09 November 2004 |
Mathematics; Geology |
Patent |
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12.
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A power swivel provides the rotational force to drill consolidated subsurface strata while an unrestricted airflow through the swivel and down a drill string remove cutti [...]
20 July 2004 |
Mathematics; Geology |
Patent |
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13.
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In this paper we construct uniformly expanding random walks on smooth manifolds. Potrie showed that given any open set U of ${\text{Diff}{\,}}_{\text{vol}}^\infty(\mathbb [...]
03 October 2023 |
Mathematics |
Article |
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14.
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An automated multicolor fluorescent microscope of the invention includes thermostatic and thermal cycling capability with a wide temperature range, such as a range betwee [...]
30 August 2007 |
Mathematics |
Patent |
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15.
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This thesis studies the average area ratio and minimal surface entropy of hyperbolic manifolds.
On closed hyperbolic manifolds of dimension $n\geq 3$, we review thedefin [...]
2023-08 |
Mathematics |
Dissertation |
|
16.
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Let <i>K</i> be a function field over a local field <i>k</i>. We show that the valuation rings of <i>K/k</i> are definable. Furthermor [...]
2023-08 |
Mathematics |
Dissertation |
|
17.
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The first part of this thesis studied GSp4-type abelian varieties and the correspondingcompatible systems of GSp4 representations. Techniques in [BCGP21] are applied
to s [...]
2023-08 |
Mathematics |
Dissertation |
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18.
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This thesis consists of two papers studying noncommutative rings in positive characteristic closely related to differential operators. Their abstracts are as follows:1. B [...]
2023-08 |
Mathematics |
Dissertation |
|
19.
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This thesis consists of two separate projects.
In the first project, we construct the Lafforgue variety, an affine scheme parametrizing the simple modules of a non-comm [...]
2023-08 |
Mathematics |
Dissertation |
|
20.
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Schramm–Loewner Evolution (SLE) is a family of random curves in the plane, indexedby a parameter $\kappa \geq 0.$ These non-crossing curves are the fundamental tool use [...]
2023-08 |
Mathematics |
Dissertation |
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21.
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Given a Gromov-hyperbolic group endowed with a finite symmetric generating set, we study the statistics of counting measures on the spheres of the associated Cayley graph [...]
17 July 2023 |
Mathematics |
Article |
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22.
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In this thesis we will present several of the author’s results on homological stability phenom-ena for discriminant complements. The contents of this thesis are taken f [...]
2023-06 |
Mathematics |
Dissertation |
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23.
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We explore combinatorial questions using tools from algebraic geometry/topology (or the converse). The first direction we start with involves combinatorial constructions [...]
2023-06 |
Mathematics |
Dissertation |
|
24.
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In this paper, we study holomorphic and algebraic dynamics on complex manifolds. It consists of two parts: one that discusses Kummer rigidity on hyperkähler manifolds, a [...]
2023-06 |
Mathematics |
Dissertation |
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25.
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Hamilton-Jacobi equations form a broad class of first-order partial differential equations. Some such equations model physical phenomena, such as the evolution of a syste [...]
2023-06 |
Mathematics |
Dissertation |
|