Memoirs of the American Mathematical Society最新文献

Classification of 𝒪_{∞}-Stable 𝒞*-Algebras 𝒪_{∞}稳定𝒞*-代数的分类

IF 1.9 4区数学

Memoirs of the American Mathematical Society Pub Date : 2024-01-01 DOI: 10.1090/memo/1461

James Gabe

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引用次数: 0

Angled Crested Like Water Waves with Surface Tension II: Zero Surface Tension Limit 带表面张力的角峰状水波 II：零表面张力极限

IF 1.9 4区数学

Memoirs of the American Mathematical Society Pub Date : 2024-01-01 DOI: 10.1090/memo/1458

Siddhant Agrawal

引用次数: 0

Hyperbolic Actions and 2nd Bounded Cohomology of Subgroups of 𝖮𝗎𝗍(𝖥_{𝗇}) 𝖮𝗎𝗍(𝖥_{𝗇})子群的双曲作用和第二有界同调

IF 1.9 4区数学

Memoirs of the American Mathematical Society Pub Date : 2023-12-01 DOI: 10.1090/memo/1454

M. Handel, L. Mosher

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引用次数: 1

The Generation Problem in Thompson Group 𝐹 汤普森群𝐹的生成问题

IF 1.9 4区数学

Memoirs of the American Mathematical Society Pub Date : 2023-12-01 DOI: 10.1090/memo/1451

Gili Golan Polak

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引用次数: 0

Finite Groups Which are Almost Groups of Lie Type in Characteristic 𝐩 特征𝐩中几乎是列类型群的有限群

IF 1.9 4区数学

Memoirs of the American Mathematical Society Pub Date : 2023-12-01 DOI: 10.1090/memo/1452

Chris Parker, Gerald Pientka, Andreas Seidel, G. Stroth

{"title":"Finite Groups Which are Almost Groups of Lie Type in Characteristic 𝐩","authors":"Chris Parker, Gerald Pientka, Andreas Seidel, G. Stroth","doi":"10.1090/memo/1452","DOIUrl":"https://doi.org/10.1090/memo/1452","url":null,"abstract":"Let <inline-formula content-type=\"math/mathml\">\u0000<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" alttext=\"p\">\u0000 <mml:semantics>\u0000 <mml:mi>p</mml:mi>\u0000 <mml:annotation encoding=\"application/x-tex\">p</mml:annotation>\u0000 </mml:semantics>\u0000</mml:math>\u0000</inline-formula> be a prime. In this paper we investigate finite <inline-formula content-type=\"math/mathml\">\u0000<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" alttext=\"script upper K Subscript StartSet 2 comma p EndSet\">\u0000 <mml:semantics>\u0000 <mml:msub>\u0000 <mml:mrow class=\"MJX-TeXAtom-ORD\">\u0000 <mml:mi class=\"MJX-tex-caligraphic\" mathvariant=\"script\">K</mml:mi>\u0000 </mml:mrow>\u0000 <mml:mrow class=\"MJX-TeXAtom-ORD\">\u0000 <mml:mo fence=\"false\" stretchy=\"false\">{</mml:mo>\u0000 <mml:mn>2</mml:mn>\u0000 <mml:mo>,</mml:mo>\u0000 <mml:mi>p</mml:mi>\u0000 <mml:mo fence=\"false\" stretchy=\"false\">}</mml:mo>\u0000 </mml:mrow>\u0000 </mml:msub>\u0000 <mml:annotation encoding=\"application/x-tex\">mathcal K_{{2,p}}</mml:annotation>\u0000 </mml:semantics>\u0000</mml:math>\u0000</inline-formula>-groups <inline-formula content-type=\"math/mathml\">\u0000<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" alttext=\"upper G\">\u0000 <mml:semantics>\u0000 <mml:mi>G</mml:mi>\u0000 <mml:annotation encoding=\"application/x-tex\">G</mml:annotation>\u0000 </mml:semantics>\u0000</mml:math>\u0000</inline-formula> which have a subgroup <inline-formula content-type=\"math/mathml\">\u0000<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" alttext=\"upper H less-than-or-equal-to upper G\">\u0000 <mml:semantics>\u0000 <mml:mrow>\u0000 <mml:mi>H</mml:mi>\u0000 <mml:mo>≤</mml:mo>\u0000 <mml:mi>G</mml:mi>\u0000 </mml:mrow>\u0000 <mml:annotation encoding=\"application/x-tex\">H le G</mml:annotation>\u0000 </mml:semantics>\u0000</mml:math>\u0000</inline-formula> such that <inline-formula content-type=\"math/mathml\">\u0000<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" alttext=\"upper K less-than-or-equal-to upper H equals upper N Subscript upper G Baseline left-parenthesis upper K right-parenthesis less-than-or-equal-to upper A u t left-parenthesis upper K right-parenthesis\">\u0000 <mml:semantics>\u0000 <mml:mrow>\u0000 <mml:mi>K</mml:mi>\u0000 <mml:mo>≤</mml:mo>\u0000 <mml:mi>H</mml:mi>\u0000 <mml:mo>=</mml:mo>\u0000 <mml:msub>\u0000 <mml:mi>N</mml:mi>\u0000 <mml:mi>G</mml:mi>\u0000 </mml:msub>\u0000 <mml:mo stretchy=\"false\">(</mml:mo>\u0000 <mml:mi>K</mml:mi>\u0000 <mml:mo stretchy=\"false\">)</mml:mo>\u0000 <mml:mo>≤</mml:mo>\u0000 <mml:mi>Aut</mml:mi>\u0000 <mml:mo>⁡</mml:mo>\u0000 <mml:mo stretchy=\"false\">(</mml:mo>\u0000 <mml:mi>K</mml:mi>\u0000 <mml:mo stretchy=\"false\">)</mml:mo>\u0000 </mml:mrow>\u0000 <mml:annotation encoding=\"application/x-tex\">K le H = N_G(K) le operatorname {Aut}(K)</mml:annotation>\u0000 </mml:semantics>\u0000</mml:math>\u0000</inline-formula> for <inline-formula content-type=\"math/mathml\">\u0000<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" alttext=\"upper K\">\u0000 <mml:semantics>\u0000 <mml:mi>K</mml:mi>\u0000 <mml:annotatio","PeriodicalId":49828,"journal":{"name":"Memoirs of the American Mathematical Society","volume":" 417","pages":""},"PeriodicalIF":1.9,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138611071","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Total Positivity is a Quantum Phenomenon: The Grassmannian Case 总正性是一种量子现象:格拉斯曼案例

4区数学

Memoirs of the American Mathematical Society Pub Date : 2023-11-01 DOI: 10.1090/memo/1448

Stéphane Launois, Tom Lenagan, Brendan Nolan

{"title":"Total Positivity is a Quantum Phenomenon: The Grassmannian Case","authors":"Stéphane Launois, Tom Lenagan, Brendan Nolan","doi":"10.1090/memo/1448","DOIUrl":"https://doi.org/10.1090/memo/1448","url":null,"abstract":"The main aim of this paper is to establish a deep link between the totally nonnegative grassmannian and the quantum grassmannian. More precisely, under the assumption that the deformation parameter <inline-formula content-type=\"math/mathml\"> <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" alttext=\"q\"> <mml:semantics> <mml:mi>q</mml:mi> <mml:annotation encoding=\"application/x-tex\">q</mml:annotation> </mml:semantics> </mml:math> </inline-formula> is transcendental, we show that “quantum positroids” are completely prime ideals in the quantum grassmannian <inline-formula content-type=\"math/mathml\"> <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" alttext=\"script upper O Subscript q Baseline left-parenthesis upper G Subscript m n Baseline left-parenthesis double-struck upper F right-parenthesis right-parenthesis\"> <mml:semantics> <mml:mrow> <mml:msub> <mml:mrow class=\"MJX-TeXAtom-ORD\"> <mml:mrow class=\"MJX-TeXAtom-ORD\"> <mml:mi class=\"MJX-tex-caligraphic\" mathvariant=\"script\">O</mml:mi> </mml:mrow> </mml:mrow> <mml:mi>q</mml:mi> </mml:msub> <mml:mo stretchy=\"false\">(</mml:mo> <mml:msub> <mml:mi>G</mml:mi> <mml:mrow class=\"MJX-TeXAtom-ORD\"> <mml:mi>m</mml:mi> <mml:mi>n</mml:mi> </mml:mrow> </mml:msub> <mml:mo stretchy=\"false\">(</mml:mo> <mml:mrow class=\"MJX-TeXAtom-ORD\"> <mml:mi mathvariant=\"double-struck\">F</mml:mi> </mml:mrow> <mml:mo stretchy=\"false\">)</mml:mo> <mml:mo stretchy=\"false\">)</mml:mo> </mml:mrow> <mml:annotation encoding=\"application/x-tex\">{mathcal O}_q(G_{mn}(mathbb {F}))</mml:annotation> </mml:semantics> </mml:math> </inline-formula>. As a consequence, we obtain that torus-invariant prime ideals in the quantum grassmannian are generated by polynormal sequences of quantum Plücker coordinates and give a combinatorial description of these generating sets. We also give a topological description of the poset of torus-invariant prime ideals in <inline-formula content-type=\"math/mathml\"> <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" alttext=\"script upper O Subscript q Baseline left-parenthesis upper G Subscript m n Baseline left-parenthesis double-struck upper F right-parenthesis right-parenthesis\"> <mml:semantics> <mml:mrow> <mml:msub> <mml:mrow class=\"MJX-TeXAtom-ORD\"> <mml:mrow class=\"MJX-TeXAtom-ORD\"> <mml:mi class=\"MJX-tex-caligraphic\" mathvariant=\"script\">O</mml:mi> </mml:mrow> </mml:mrow> <mml:mi>q</mml:mi> </mml:msub> <mml:mo stretchy=\"false\">(</mml:mo> <mml:msub> <mml:mi>G</mml:mi> <mml:mrow class=\"MJX-TeXAtom-ORD\"> <mml:mi>m</mml:mi> <mml:mi>n</mml:mi> </mml:mrow> </mml:msub> <mml:mo stretchy=\"false\">(</mml:mo> <mml:mrow class=\"MJX-TeXAtom-ORD\"> <mml:mi mathvariant=\"double-struck\">F</mml:mi> </mml:mrow> <mml:mo stretchy=\"false\">)</mml:mo> <mml:mo stretchy=\"false\">)</mml:mo> </mml:mrow> <mml:annotation encoding=\"application/x-tex\">{mathcal O}_q(G_{mn}(mathbb {F}))</mml:annotation> </mml:semantics> </mml:math> </inline-formula>, and prove a version of the orbit method for torus-invariant objects. Finally, ","PeriodicalId":49828,"journal":{"name":"Memoirs of the American Mathematical Society","volume":"231 ","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136018336","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 5

Lattice Paths and Branched Continued Fractions: An Infinite Sequence of Generalizations of the Stieltjes–Rogers and Thron–Rogers Polynomials, with Coefficientwise Hankel-Total Positivity 格路与分支连分式:系数为汉克尔全正的stieltje - rogers多项式和Thron-Rogers多项式的无限推广序列

4区数学

Memoirs of the American Mathematical Society Pub Date : 2023-11-01 DOI: 10.1090/memo/1450

Mathias Pétréolle, Alan D. Sokal, Bao-Xuan Zhu

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引用次数: 33

Local Smoothing Estimates for Schrödinger Equations on Hyperbolic Space 双曲空间上Schrödinger方程的局部平滑估计

4区数学

Memoirs of the American Mathematical Society Pub Date : 2023-11-01 DOI: 10.1090/memo/1447

Andrew Lawrie, Jonas Luhrmann, Sung-Jin Oh, Sohrab Shahshahani

{"title":"Local Smoothing Estimates for Schrödinger Equations on Hyperbolic Space","authors":"Andrew Lawrie, Jonas Luhrmann, Sung-Jin Oh, Sohrab Shahshahani","doi":"10.1090/memo/1447","DOIUrl":"https://doi.org/10.1090/memo/1447","url":null,"abstract":"We establish global-in-time frequency localized local smoothing estimates for Schrödinger equations on hyperbolic space <inline-formula content-type=\"math/mathml\"> <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" alttext=\"double-struck upper H Superscript d\"> <mml:semantics> <mml:msup> <mml:mrow class=\"MJX-TeXAtom-ORD\"> <mml:mi mathvariant=\"double-struck\">H</mml:mi> </mml:mrow> <mml:mi>d</mml:mi> </mml:msup> <mml:annotation encoding=\"application/x-tex\">mathbb {H}^d</mml:annotation> </mml:semantics> </mml:math> </inline-formula>, <inline-formula content-type=\"math/mathml\"> <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" alttext=\"d greater-than-or-equal-to 2\"> <mml:semantics> <mml:mrow> <mml:mi>d</mml:mi> <mml:mo>≥</mml:mo> <mml:mn>2</mml:mn> </mml:mrow> <mml:annotation encoding=\"application/x-tex\">d geq 2</mml:annotation> </mml:semantics> </mml:math> </inline-formula>. In the presence of symmetric first and zeroth order potentials, which are possibly time-dependent, possibly large, and have sufficiently fast polynomial decay, these estimates are proved up to a localized lower order error. Then in the time-independent case, we show that a spectral condition (namely, absence of threshold resonances) implies the full local smoothing estimates (without any error), after projecting to the continuous spectrum. In the process, as a means to localize in frequency, we develop a general Littlewood–Paley machinery on <inline-formula content-type=\"math/mathml\"> <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" alttext=\"double-struck upper H Superscript d\"> <mml:semantics> <mml:msup> <mml:mrow class=\"MJX-TeXAtom-ORD\"> <mml:mi mathvariant=\"double-struck\">H</mml:mi> </mml:mrow> <mml:mi>d</mml:mi> </mml:msup> <mml:annotation encoding=\"application/x-tex\">mathbb {H}^d</mml:annotation> </mml:semantics> </mml:math> </inline-formula> based on the heat flow. Our results and techniques are motivated by applications to the problem of stability of solitary waves to nonlinear Schrödinger-type equations on <inline-formula content-type=\"math/mathml\"> <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" alttext=\"double-struck upper H Superscript d\"> <mml:semantics> <mml:msup> <mml:mrow class=\"MJX-TeXAtom-ORD\"> <mml:mi mathvariant=\"double-struck\">H</mml:mi> </mml:mrow> <mml:mrow class=\"MJX-TeXAtom-ORD\"> <mml:mi>d</mml:mi> </mml:mrow> </mml:msup> <mml:annotation encoding=\"application/x-tex\">mathbb {H}^{d}</mml:annotation> </mml:semantics> </mml:math> </inline-formula>. Specifically, some of the estimates established in this paper play a crucial role in the authors’ proof of the nonlinear asymptotic stability of harmonic maps under the Schrödinger maps evolution on the hyperbolic plane; see Lawrie, Lührmann, Oh, and Shahshahani, 2023. As a testament of the robustness of approach, which is based on the positive commutator method and a heat flow based Littlewood-Paley theory, we also show that the main results are stable under small time-depen","PeriodicalId":49828,"journal":{"name":"Memoirs of the American Mathematical Society","volume":"217 ","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136018340","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 6

Potential Estimates and Quasilinear Parabolic Equations with Measure Data 具有测量数据的势估计和拟线性抛物方程

4区数学

Memoirs of the American Mathematical Society Pub Date : 2023-11-01 DOI: 10.1090/memo/1449

Quoc Hung Nguyen

{"title":"Potential Estimates and Quasilinear Parabolic Equations with Measure Data","authors":"Quoc Hung Nguyen","doi":"10.1090/memo/1449","DOIUrl":"https://doi.org/10.1090/memo/1449","url":null,"abstract":"In this memoir, we study the existence and regularity of the quasilinear parabolic equations: <disp-formula content-type=\"math/mathml\"> <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" alttext=\"u Subscript t Baseline minus d i v left-parenthesis upper A left-parenthesis x comma t comma nabla u right-parenthesis right-parenthesis equals upper B left-parenthesis u comma nabla u right-parenthesis plus mu comma\"> <mml:semantics> <mml:mrow> <mml:msub> <mml:mi>u</mml:mi> <mml:mi>t</mml:mi> </mml:msub> <mml:mo>−</mml:mo> <mml:mi>div</mml:mi> <mml:mo>⁡</mml:mo> <mml:mo stretchy=\"false\">(</mml:mo> <mml:mi>A</mml:mi> <mml:mo stretchy=\"false\">(</mml:mo> <mml:mi>x</mml:mi> <mml:mo>,</mml:mo> <mml:mi>t</mml:mi> <mml:mo>,</mml:mo> <mml:mi mathvariant=\"normal\">∇</mml:mi> <mml:mi>u</mml:mi> <mml:mo stretchy=\"false\">)</mml:mo> <mml:mo stretchy=\"false\">)</mml:mo> <mml:mo>=</mml:mo> <mml:mi>B</mml:mi> <mml:mo stretchy=\"false\">(</mml:mo> <mml:mi>u</mml:mi> <mml:mo>,</mml:mo> <mml:mi mathvariant=\"normal\">∇</mml:mi> <mml:mi>u</mml:mi> <mml:mo stretchy=\"false\">)</mml:mo> <mml:mo>+</mml:mo> <mml:mi>μ</mml:mi> <mml:mo>,</mml:mo> </mml:mrow> <mml:annotation encoding=\"application/x-tex\">begin{equation*} u_t-operatorname {div}(A(x,t,nabla u))=B(u,nabla u)+mu , end{equation*}</mml:annotation> </mml:semantics> </mml:math> </disp-formula> in either <inline-formula content-type=\"math/mathml\"> <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" alttext=\"double-struck upper R Superscript upper N plus 1\"> <mml:semantics> <mml:msup> <mml:mrow class=\"MJX-TeXAtom-ORD\"> <mml:mi mathvariant=\"double-struck\">R</mml:mi> </mml:mrow> <mml:mrow class=\"MJX-TeXAtom-ORD\"> <mml:mi>N</mml:mi> <mml:mo>+</mml:mo> <mml:mn>1</mml:mn> </mml:mrow> </mml:msup> <mml:annotation encoding=\"application/x-tex\">mathbb {R}^{N+1}</mml:annotation> </mml:semantics> </mml:math> </inline-formula> or <inline-formula content-type=\"math/mathml\"> <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" alttext=\"double-struck upper R Superscript upper N Baseline times left-parenthesis 0 comma normal infinity right-parenthesis\"> <mml:semantics> <mml:mrow> <mml:msup> <mml:mrow class=\"MJX-TeXAtom-ORD\"> <mml:mi mathvariant=\"double-struck\">R</mml:mi> </mml:mrow> <mml:mi>N</mml:mi> </mml:msup> <mml:mo>×</mml:mo> <mml:mo stretchy=\"false\">(</mml:mo> <mml:mn>0</mml:mn> <mml:mo>,</mml:mo> <mml:mi mathvariant=\"normal\">∞</mml:mi> <mml:mo stretchy=\"false\">)</mml:mo> </mml:mrow> <mml:annotation encoding=\"application/x-tex\">mathbb {R}^Ntimes (0,infty )</mml:annotation> </mml:semantics> </mml:math> </inline-formula> or on a bounded domain <inline-formula content-type=\"math/mathml\"> <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" alttext=\"normal upper Omega times left-parenthesis 0 comma upper T right-parenthesis subset-of double-struck upper R Superscript upper N plus 1\"> <mml:semantics> <mml:mrow> <mml:mi mathvariant=\"normal\">Ω</mml:mi","PeriodicalId":49828,"journal":{"name":"Memoirs of the American Mathematical Society","volume":"323 ","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136103074","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 32

Tate Duality In Positive Dimension over Function Fields 函数域上正维的Tate对偶性

4区数学

Memoirs of the American Mathematical Society Pub Date : 2023-10-01 DOI: 10.1090/memo/1444

Zev Rosengarten

引用次数: 10