서브메뉴
검색
Quantitative Stability Results for Crystals and Clusters
Quantitative Stability Results for Crystals and Clusters
상세정보
- 자료유형
- 학위논문 서양
- 최종처리일시
- 20260311091534.5
- ISBN
- 9798270231859
- DDC
- 541.22
- 저자명
- DeMason, Kenneth
- 서명/저자
- Quantitative Stability Results for Crystals and Clusters / Kenneth DeMason
- 발행사항
- [Sl] : The University of Texas at Austin, 2025
- 형태사항
- 1 electronic resource (116 pages)
- 주기사항
- Source: Dissertations Abstracts International, Volume: 87-06, Section: B.
- 주기사항
- Advisors: Delgadino, Matias Committee members: Gualdani, Maria; Neumayer, Robin; Maggi, Francesco.
- 학위논문주기
- - Ph.D. : The University of Texas at Austin, 2025.
- 초록/해제
- 요약This thesis extends the literature on quantitative stability results for isoperimetric inequalities. Quantitative stability, loosely speaking, refers to the characterization of almost-equality sets as being close, in some sense, to the equality case of the corresponding inequality. The first result, based on the work (DeM24), shows a strong form of quantitative stability in the anisotropic setting when the Wulff shape is a polytope. The second result, based on the joint work (CDM25) with Marco Caroccia and Francesco Maggi, proves a quantitative stability result for generalized hexagons and applies this to low-energy clusters. In this way, we provide asymptotic results, based on the number of chambers, which shows that the vast majority of chambers are connected and close to being hexagons.
- 언어주기
- English
- 일반주제명
- Applied mathematics
- 일반주제명
- Physics
- 일반주제명
- Theoretical physics
- 키워드
- Equality case
- 기타저자
- The University of Texas at Austin Mathematics
- 기본자료저록
- Dissertations Abstracts International. 87-06B.
- 전자적 위치 및 접속
- 로그인 후 원문을 볼 수 있습니다.
MARC
008260311s2025 us eng d■001000017361202
■00520260311091534.5
■006m o d
■007cr|nu||||||||
■020 ▼a9798270231859
■040 ▼aMiAaPQD▼beng▼cMiAaPQD▼erda
■082 ▼a541.22
■1001 ▼aDeMason, Kenneth▼eauthor.
■24510▼aQuantitative Stability Results for Crystals and Clusters ▼cKenneth DeMason
■260 ▼a[Sl]▼bThe University of Texas at Austin▼c2025
■264 1▼aAnn Arbor▼bProQuest Dissertations & Theses▼c2025
■300 ▼a1 electronic resource (116 pages)
■336 ▼atext▼btxt▼2rdacontent
■337 ▼acomputer▼bc▼2rdamedia
■338 ▼aonline resource▼bcr▼2rdacarrier
■500 ▼aSource: Dissertations Abstracts International, Volume: 87-06, Section: B.
■500 ▼aAdvisors: Delgadino, Matias Committee members: Gualdani, Maria; Neumayer, Robin; Maggi, Francesco.
■5021 ▼bPh.D.▼cThe University of Texas at Austin▼d2025.
■520 ▼aThis thesis extends the literature on quantitative stability results for isoperimetric inequalities. Quantitative stability, loosely speaking, refers to the characterization of almost-equality sets as being close, in some sense, to the equality case of the corresponding inequality. The first result, based on the work (DeM24), shows a strong form of quantitative stability in the anisotropic setting when the Wulff shape is a polytope. The second result, based on the joint work (CDM25) with Marco Caroccia and Francesco Maggi, proves a quantitative stability result for generalized hexagons and applies this to low-energy clusters. In this way, we provide asymptotic results, based on the number of chambers, which shows that the vast majority of chambers are connected and close to being hexagons.
■546 ▼aEnglish
■590 ▼aSchool code: 0227
■650 4▼aApplied mathematics
■650 4▼aPhysics
■650 4▼aTheoretical physics
■653 ▼aIsoperimetric inequalities
■653 ▼aQuantitative stability
■653 ▼aEquality case
■653 ▼aLow-energy clusters
■7102 ▼aThe University of Texas at Austin▼bMathematics.▼edegree granting institution.
■7201 ▼aDelgadino, Matias▼edegree supervisor.
■7730 ▼tDissertations Abstracts International▼g87-06B.
■85640▼uhttp://www.riss.kr/pdu/ddodLink.do?id=T17361202▼nKERIS▼z이 자료의 원문은 한국교육학술정보원에서 제공합니다.
