{"id":{"repo_id":"bielefeld","oai_identifier":"oai:pub.uni-bielefeld.de:2962225"},"canonical_url":"https://search.dev.ndltd.org/etd/bielefeld/oai:pub.uni-bielefeld.de:2962225","repository":{"repo_id":"bielefeld","name":"Universität Bielefeld","base_url":"https://pub.uni-bielefeld.de/oai"},"display":{"title":"On-diagonal heat kernel bounds and volume growth on Riemannian manifolds","abstract":"We investigate heat kernel estimates of the form $p_{t}(x, x) ≥ c_{x}t^{−α}$, for large enough $t$, where $α$ and $c_{x}$ are positive reals and $c_{x}$ may depend on $x$, on manifolds having at least one end with a polynomial volume growth.","abstract_html":"We investigate heat kernel estimates of the form <span class=\"etd-inline-math\">p<sub>t</sub>(x, x) ≥ c<sub>x</sub>t<sup>−α</sup></span>, for large enough $t$, where $α$ and <span class=\"etd-inline-math\">c<sub>x</sub></span> are positive reals and <span class=\"etd-inline-math\">c<sub>x</sub></span> may depend on $x$, on manifolds having at least one end with a polynomial volume growth.","abstract_has_math":true,"creators":["Sürig, Philipp"],"institution":"Universität Bielefeld","degree_name":null,"degree_level":"thesis.doctoral","degree_discipline":null,"degree_department":null,"school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2022,"date_issued":"2022-03-31","date_published":"2022-03-31","updated_at":"2026-07-27T18:50:04Z","subjects":[],"languages":[],"rights":[],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"https://pub.uni-bielefeld.de/record/2962225","outbound_label":"Repository record","outbound_source":"source_url"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:creator","label":"Author","values":["Sürig, Philipp"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:publisher","label":"Institution","values":["Universitätsbibliothek Bielefeld"]},{"key":"dc:type","label":"Dc Type","values":["doctoralThesis"]},{"key":"thesis:degree_level","label":"Degree Level","values":["thesis.doctoral"]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["Universität Bielefeld"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["We investigate heat kernel estimates of the form $p_{t}(x, x) ≥ c_{x}t^{−α}$, for large enough $t$, where $α$ and $c_{x}$ are positive reals and $c_{x}$ may depend on $x$, on manifolds having at least one end with a polynomial volume growth."]},{"key":"dc:format.medium","label":"Dc Format Medium","values":["application/pdf"]},{"key":"dc:title","label":"Title","values":["On-diagonal heat kernel bounds and volume growth on Riemannian manifolds"]}]}],"canonical_facts":{"dc:creator":["Sürig, Philipp"],"dc:description.abstract":["We investigate heat kernel estimates of the form $p_{t}(x, x) ≥ c_{x}t^{−α}$, for large enough $t$, where $α$ and $c_{x}$ are positive reals and $c_{x}$ may depend on $x$, on manifolds having at least one end with a polynomial volume growth."],"dc:format.medium":["application/pdf"],"dc:publisher":["Universitätsbibliothek Bielefeld"],"dc:title":["On-diagonal heat kernel bounds and volume growth on Riemannian manifolds"],"dc:type":["doctoralThesis"],"thesis:degree_level":["thesis.doctoral"],"thesis:institution_name":["Universität Bielefeld"]},"updated_at":"2026-07-27T18:50:04Z"}