Limit your search
Search Constraints
Number of results to display per page
Search Results
-
- Description:
- The structural aspects of biological systems are tightly paired with their functions. This understanding has been demonstrated over a broad range of length scales, spanning the ultrastructure of a cell to the macroscopic architecture of organs. Connecting structure and function relies on the integration of physical and biological sciences to...
- Keyword:
- Sparse imaging, 3D genome organization, Scanning transmission electron microscopy, Multi-modal chromatin characterization, and Electron tomography
- Subject:
- Mathematics, Applied physics, and Biophysics
- Creator:
- Li, Yue
- Owner:
- Scholarly Digital Publishing
- Language:
- en
- Date Uploaded:
- 02/12/2020
- Date Created:
- 2019-01-01
- Resource Type:
- Dissertation
- Alternate Identifier:
- http://dissertations.umi.com/northwestern:14813 and etdadmin_upload_685632
-
- Description:
- We use Goerss-Hopkins theory to show that if E is a p-local Landweber exact homology theory of height n and p > n^2 + n + 1, then there exists an equivalence hSpE ≃ hD(E∗E) between homotopy categories of E-local spectra and differential E∗E-comodules, generalizing Bousfield’s and Franke’s results to...
- Keyword:
- Chromatic homotopy theory
- Subject:
- Mathematics
- Creator:
- Pstragowski, Piotr Tadeusz
- Owner:
- Scholarly Digital Publishing
- Language:
- en
- Date Uploaded:
- 02/12/2020
- Date Created:
- 2019-01-01
- Resource Type:
- Dissertation
- Alternate Identifier:
- http://dissertations.umi.com/northwestern:14702 and etdadmin_upload_667235
-
- Description:
- This thesis contains results in mathematical quantum ergodicity in a probabilistic or a complex analytic setting. For the former, we show that a random orthonormal basis of spherical harmonics is almost surely quantum ergodic, in which the randomness is induced by the generalized Wigner ensemble. For the latter, we show...
- Keyword:
- Eigenfunction, Quantum ergodicity, Microlocal analysis, and Grauert tube
- Subject:
- Mathematics, Quantum physics, and Plasma physics
- Creator:
- Chang, Hsiang
- Owner:
- Scholarly Digital Publishing
- Language:
- en
- Date Uploaded:
- 02/12/2020
- Date Created:
- 2019-01-01
- Resource Type:
- Dissertation
- Alternate Identifier:
- http://dissertations.umi.com/northwestern:14574 and etdadmin_upload_658290
-
- Description:
- This dissertation concerns the probabilistic aspects of diffusion processes generated by a family of differential operators, which is similar to the family of hypoelliptic Laplacian operators, acting on the tangent bundle of a compact Riemannian manifold. By lifting the processes to the product of the frame bundle and the euclidean...
- Subject:
- Mathematics
- Creator:
- Guo, Heng
- Owner:
- Scholarly Digital Publishing
- Language:
- en
- Date Uploaded:
- 02/12/2020
- Date Created:
- 2019-01-01
- Resource Type:
- Dissertation
- Alternate Identifier:
- http://dissertations.umi.com/northwestern:14614 and etdadmin_upload_661820
-
- Description:
- In this thesis, we study pushforwards of canonical and log-pluricanonical bundles on projective log canonical pairs over the complex numbers. We partially answer a Fujita-type conjecture proposed by Popa and Schnell in the log canonical setting. Built on Kawamata’s result for morphisms that are smooth outside a simple normal crossing...
- Keyword:
- Global Generation, Fujita Conjecture, (Pluri)-canonical bundle, Weak Positivity, Iitaka Conjecture, and Vanishing Theorems
- Subject:
- Mathematics
- Creator:
- Dutta, Yajnaseni
- Owner:
- Scholarly Digital Publishing
- Language:
- en
- Date Uploaded:
- 02/12/2020
- Date Created:
- 2019-01-01
- Resource Type:
- Dissertation
- Alternate Identifier:
- etdadmin_upload_666347 and http://dissertations.umi.com/northwestern:14693
-
- Description:
- The Brink-Schwarz superparticle is a one-dimensional analogue of the Green-Schwarz superstring. In this thesis, we use the Batalin-Vilkovisky formalism to study the superparticle. After proving a vanishing result for its Batalin-Vilkovisky cohomology, we explain the sense in which the superparticle exhibits general covariance in the world-line. Using techniques from rational...
- Keyword:
- covariance, superstring, gauge theory, quantization, and supersymmetry
- Subject:
- Mathematics and Theoretical physics
- Creator:
- Pohorence, Sean Weinz
- Owner:
- Scholarly Digital Publishing
- Language:
- en
- Date Uploaded:
- 02/12/2020
- Date Created:
- 2019-01-01
- Resource Type:
- Dissertation
- Alternate Identifier:
- etdadmin_upload_662424 and http://dissertations.umi.com/northwestern:14639
-
- Description:
- This dissertation addresses the property of amenability of discrete groups and their actions. In Chapter 2, following the introduction, all necessary definitions are given to introduce amenable groups, elementary amenable groups, random walks, topological full groups, Thompson's group $F$ and to show connections between them. The chapter also briefly covers...
- Keyword:
- amenability, group-theory, and amenable-groups
- Subject:
- Mathematics
- Creator:
- Chornyi, Maksym
- Owner:
- Scholarly Digital Publishing
- Language:
- en
- Date Uploaded:
- 02/12/2020
- Date Created:
- 2019-01-01
- Resource Type:
- Dissertation
- Alternate Identifier:
- etdadmin_upload_659646 and http://dissertations.umi.com/northwestern:14584
-
- Description:
- The spatial autoregressive model has been widely applied in science, in areas such as economics, public finance, political science, agricultural economics, environmental studies and transportation analyses. The classical spatial autoregressive model is a linear model for describing spatial correlation. In this work, we expand the classical model to include time...
- Keyword:
- Neural network, Maximum likelihood method, Spatial analysis, and Noise injection
- Subject:
- Mathematics, Geography, and Statistics
- Creator:
- Wang, Wenqian
- Owner:
- Scholarly Digital Publishing
- Language:
- en
- Date Uploaded:
- 02/12/2020
- Date Created:
- 2019-01-01
- Resource Type:
- Dissertation
- Alternate Identifier:
- etdadmin_upload_663006 and http://dissertations.umi.com/northwestern:14671
-
- Description:
- Let X,Y be algebraic varieties defined over the reals. Assume Y is smooth and X is Gorenstein. Suppose f:X -> Y is a flat R-morphism such that all the fibers have rational singularities. We show that the pushforward of any smooth, compactly supported measure on X has a continuous density...
- Keyword:
- Measures and Rational singularities
- Subject:
- Mathematics
- Creator:
- Andrew Reiser
- Owner:
- Scholarly Digital Publishing
- Date Uploaded:
- 11/24/2019
- Date Modified:
- 11/24/2019
- Date Created:
- 2018-01-01
- Resource Type:
- Dissertation
-
- Description:
- We compare two different methods to compute the mod 2 homology of an infinite loop space. One method is to approximate the infinite loop functor using functor calculus. The other is to approximate the spectrum using an Adams resolution. We show that these two ways lead to isomorphic spectral sequences....
- Keyword:
- spectral sequences, Goodwillie calculus, Adams resolution, and power operations
- Subject:
- Mathematics
- Creator:
- Johan W T Konter
- Owner:
- Scholarly Digital Publishing
- Date Uploaded:
- 11/24/2019
- Date Modified:
- 11/24/2019
- Date Created:
- 2018-01-01
- Resource Type:
- Dissertation
-
- Description:
- In this work we explore a connection between some high dimensional asymptotic problems and random matrix theory. In the first part, we establish a link between the Wishart ensemble and random critical points of holomorphic sections over complex projective space and use this to establish asymptotics on the average number...
- Keyword:
- High Dimensional, Complex Geometry, Differential Equations, and Probability Theory
- Subject:
- Mathematics
- Creator:
- Xavier Eduardo Garcia
- Owner:
- Scholarly Digital Publishing
- Date Uploaded:
- 11/19/2019
- Date Modified:
- 11/19/2019
- Date Created:
- 2018-01-01
- Resource Type:
- Dissertation
-
- Description:
- The moduli stack of bundles on a smooth complete curve over a field, is an immensely rich geometric object and is of central importance to the Geometric Langlands program. This thesis represents a contribution towards a motivic, in the sense of Voevodsky and Morel-Voevodsky, understanding of this stack. Following the...
- Keyword:
- Space of rational maps, Ran space, Motivic homotopy theory, Motives, and Geometric Langlands
- Subject:
- Mathematics
- Creator:
- Elden Elmanto
- Owner:
- Scholarly Digital Publishing
- Date Uploaded:
- 11/19/2019
- Date Modified:
- 11/19/2019
- Date Created:
- 2018-01-01
- Resource Type:
- Dissertation
-
- Description:
- This thesis is naturally split into two parts. In the first part, we develop the theory of multi- linear algebra for Tate objects over exact categories endowed with an exact tensor product. We study all possible choices of tensor product and we give a geometric interpretation of the results. In...
- Keyword:
- Tate objects, tensor product, central extension, and determinant
- Subject:
- Mathematics
- Creator:
- Aron Alexandre Heleodoro
- Owner:
- Scholarly Digital Publishing
- Date Uploaded:
- 04/15/2019
- Date Modified:
- 04/15/2019
- Date Created:
- 2018-01-01
- Resource Type:
- Dissertation
-
- Description:
- In this thesis, we study arithmetic phenomena exhibited by polynomial dynamical systems on the projective line. Specifically, given a number field $K$, we are interested in the arithmetic of orbits of points $\alpha\in K$ under polynomials $\phi\in K[z]$. Given such a polynomial $\phi$ of degree $d\ge2$, we prove a lower...
- Keyword:
- Mathematics
- Subject:
- Mathematics
- Creator:
- Nicole Romain Looper
- Owner:
- Scholarly Digital Publishing
- Date Uploaded:
- 04/09/2019
- Date Modified:
- 04/09/2019
- Date Created:
- 2018-01-01
- Resource Type:
- Dissertation
-
- Description:
- In this paper, we show almost-Gelfand property of connected symmetric pairs (G, H) over finite fields of large characteristics by showing almost-sigma-invariant property of double coset H\G/H where sigma is the associated anti-involution combining with epsilon-version of Gelfand's trick
- Keyword:
- symmetric pair, representation theory, and Gelfand pair
- Subject:
- Mathematics
- Creator:
- Nan Shi
- Owner:
- Scholarly Digital Publishing
- Date Uploaded:
- 04/01/2019
- Date Modified:
- 04/01/2019
- Date Created:
- 2018-01-01
- Resource Type:
- Dissertation
-
- Description:
- The holomorphic sigma-model is a field theory that exists in any complex dimension that describes the moduli space of holomorphic maps from one complex manifold to another. We introduce the general notion of a holomorphic field theory, which is one that is sensitive to the underlying complex structure of the...
- Keyword:
- Factorization algebras, Renormalization, Batalin-Vilkovisky, and Quantum field theory
- Subject:
- Mathematics
- Creator:
- Brian R Williams
- Owner:
- Scholarly Digital Publishing
- Date Uploaded:
- 04/01/2019
- Date Modified:
- 04/01/2019
- Date Created:
- 2018-01-01
- Resource Type:
- Dissertation
-
- Description:
- homotopy theory studies a parametrization of stable homotopy theory in terms of algebraic objects called formal groups. Transchromatic homotopy theory is specifically concerned with the behavior of spaces and cohomology theories as these formal groups change in height. We pursue a central transchromatic object, the K(n − 1)- localization of...
- Keyword:
- chromatic homotopy theory, formal groups, Morava E-theory, Bousfield localization, algebraic topology, and structured ring spectra
- Subject:
- Mathematics
- Creator:
- Paul Behrents VanKoughnett
- Owner:
- Scholarly Digital Publishing
- Date Uploaded:
- 04/01/2019
- Date Modified:
- 04/01/2019
- Date Created:
- 2018-01-01
- Resource Type:
- Dissertation
-
- Description:
- We prove a uniform scalar curvature bound for solutions of the conical Kahler-Ricci flow when the twisted canonical bundle is semiample and the cone divisor is obtained from the associated Iitaka-Kodaira fibration. In the course of the proof we establish uniform bounds for the potential of the metric and its...
- Keyword:
- Geometric Flows, Kahler-Ricci Flow, and Conical Kahler Metrics
- Subject:
- Mathematics
- Creator:
- Gregory Edwards
- Owner:
- Scholarly Digital Publishing
- Date Uploaded:
- 03/07/2019
- Date Modified:
- 03/07/2019
- Date Created:
- 2018-01-01
- Resource Type:
- Dissertation
-
- Description:
- In fish, caudally propagating waves of neural activity produce muscle bending moments. These moments, coupled with forces due to the body's elastic properties and forces due to fluid-body interactions, determine the deformation kinematics for swimming. Fully resolved simulations of neurally-activated swimming can be used to decode activation patterns underlying observed...
- Keyword:
- biomechanics, fluid structure interaction, locomotion, neuromechanics, neuromechanical phase lag, and immersed boundary method
- Subject:
- Mathematics
- Creator:
- Namrata Kartik Patel
- Owner:
- Scholarly Digital Publishing
- Date Uploaded:
- 01/09/2019
- Date Modified:
- 01/29/2019
- Date Created:
- 2017-01-01
- Resource Type:
- Dissertation
-
- Description:
- In this thesis we study minimal measures for Lagrangian systems on compact manifolds. This thesis consists of three parts which are closely related. The first part is Chapter 3 and Chapter 4. In Chapter 3 and 4, we consider geodesic flows on compact surfaces with higher genus. We show that...
- Keyword:
- Minimal Measures
- Subject:
- Mathematics
- Creator:
- Fang Wang
- Owner:
- Scholarly Digital Publishing
- Date Uploaded:
- 10/02/2018
- Date Modified:
- 10/02/2018
- Date Created:
- 2008-08-22
- Resource Type:
- Dissertation
- « Previous
- Next »
- 1
- 2
- 3
- 4