Random simplicial complexes and materials
$begingroup$
I currently study random simplicial complexes. Some papers I read mention that this subject has some applications in material science in the sense that some materials in nature act as a random simplicial complex and hence the study of random simplicial complexes may help us to discover some properties of these materials.
However I failed to find a paper that shows this relation concretely. Does anyone know such paper or has some prior knowledge on these materials and how mathematics is used to study them?
Thanks in advance!
reference-request algebraic-topology
asked Dec 22 '18 at 20:17
LeventLevent
2,729925
$endgroup$
add a comment |
$begingroup$
I currently study random simplicial complexes. Some papers I read mention that this subject has some applications in material science in the sense that some materials in nature act as a random simplicial complex and hence the study of random simplicial complexes may help us to discover some properties of these materials.
However I failed to find a paper that shows this relation concretely. Does anyone know such paper or has some prior knowledge on these materials and how mathematics is used to study them?
Thanks in advance!
reference-request algebraic-topology
asked Dec 22 '18 at 20:17
LeventLevent
2,729925
$endgroup$
add a comment |
$begingroup$
I currently study random simplicial complexes. Some papers I read mention that this subject has some applications in material science in the sense that some materials in nature act as a random simplicial complex and hence the study of random simplicial complexes may help us to discover some properties of these materials.
However I failed to find a paper that shows this relation concretely. Does anyone know such paper or has some prior knowledge on these materials and how mathematics is used to study them?
Thanks in advance!
reference-request algebraic-topology
asked Dec 22 '18 at 20:17
LeventLevent
2,729925
$endgroup$
I currently study random simplicial complexes. Some papers I read mention that this subject has some applications in material science in the sense that some materials in nature act as a random simplicial complex and hence the study of random simplicial complexes may help us to discover some properties of these materials.
However I failed to find a paper that shows this relation concretely. Does anyone know such paper or has some prior knowledge on these materials and how mathematics is used to study them?
Thanks in advance!
reference-request algebraic-topology
reference-request algebraic-topology
asked Dec 22 '18 at 20:17
LeventLevent
2,729925
asked Dec 22 '18 at 20:17
LeventLevent
2,729925
asked Dec 22 '18 at 20:17
LeventLevent
2,729925
asked Dec 22 '18 at 20:17
LeventLevent
2,729925
asked Dec 22 '18 at 20:17
LeventLevent
2,729925
2,729925
add a comment |
add a comment |
1 Answer
1
active
oldest
votes
$begingroup$
One idea is if you consider the incidence relation between molecules/components of some material in a container and construct a simplicial complex in the natural way from these relations, then by adding more of the material and examining the change in the simplicial complexes you may infer something about how the material interacts with itself structurally.
The paper "Pore configuration landscape of granular crystallization" by M. Saadatfar, H. Takeuchi, V. Robins, N. Francois & Y. Hiraoka is the best place to start that I can think of right now.
answered Dec 26 '18 at 0:03
NickCNickC
676410
$endgroup$
add a comment |
Your Answer
StackExchange.ifUsing("editor", function () {
return StackExchange.using("mathjaxEditing", function () {
StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix) {
StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["$", "$"], ["\\(","\\)"]]);
});
});
}, "mathjax-editing");
StackExchange.ready(function() {
var channelOptions = {
tags: "".split(" "),
id: "69"
};
initTagRenderer("".split(" "), "".split(" "), channelOptions);
StackExchange.using("externalEditor", function() {
// Have to fire editor after snippets, if snippets enabled
if (StackExchange.settings.snippets.snippetsEnabled) {
StackExchange.using("snippets", function() {
createEditor();
});
}
else {
createEditor();
}
});
function createEditor() {
StackExchange.prepareEditor({
heartbeatType: 'answer',
autoActivateHeartbeat: false,
convertImagesToLinks: true,
noModals: true,
showLowRepImageUploadWarning: true,
reputationToPostImages: 10,
bindNavPrevention: true,
postfix: "",
imageUploader: {
brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
allowUrls: true
},
noCode: true, onDemand: true,
discardSelector: ".discard-answer"
,immediatelyShowMarkdownHelp:true
});
}
});
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3049814%2frandom-simplicial-complexes-and-materials%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
$begingroup$
One idea is if you consider the incidence relation between molecules/components of some material in a container and construct a simplicial complex in the natural way from these relations, then by adding more of the material and examining the change in the simplicial complexes you may infer something about how the material interacts with itself structurally.
The paper "Pore configuration landscape of granular crystallization" by M. Saadatfar, H. Takeuchi, V. Robins, N. Francois & Y. Hiraoka is the best place to start that I can think of right now.
answered Dec 26 '18 at 0:03
NickCNickC
676410
$endgroup$
add a comment |
$begingroup$
One idea is if you consider the incidence relation between molecules/components of some material in a container and construct a simplicial complex in the natural way from these relations, then by adding more of the material and examining the change in the simplicial complexes you may infer something about how the material interacts with itself structurally.
The paper "Pore configuration landscape of granular crystallization" by M. Saadatfar, H. Takeuchi, V. Robins, N. Francois & Y. Hiraoka is the best place to start that I can think of right now.
answered Dec 26 '18 at 0:03
NickCNickC
676410
$endgroup$
add a comment |
$begingroup$
One idea is if you consider the incidence relation between molecules/components of some material in a container and construct a simplicial complex in the natural way from these relations, then by adding more of the material and examining the change in the simplicial complexes you may infer something about how the material interacts with itself structurally.
The paper "Pore configuration landscape of granular crystallization" by M. Saadatfar, H. Takeuchi, V. Robins, N. Francois & Y. Hiraoka is the best place to start that I can think of right now.
answered Dec 26 '18 at 0:03
NickCNickC
676410
$endgroup$
One idea is if you consider the incidence relation between molecules/components of some material in a container and construct a simplicial complex in the natural way from these relations, then by adding more of the material and examining the change in the simplicial complexes you may infer something about how the material interacts with itself structurally.
The paper "Pore configuration landscape of granular crystallization" by M. Saadatfar, H. Takeuchi, V. Robins, N. Francois & Y. Hiraoka is the best place to start that I can think of right now.
answered Dec 26 '18 at 0:03
NickCNickC
676410
edited Dec 26 '18 at 4:50
answered Dec 26 '18 at 0:03
NickCNickC
676410
answered Dec 26 '18 at 0:03
NickCNickC
676410
answered Dec 26 '18 at 0:03
NickCNickC
676410
676410
add a comment |
add a comment |
Thanks for contributing an answer to Mathematics Stack Exchange!
- Please be sure to answer the question. Provide details and share your research!
But avoid …
- Asking for help, clarification, or responding to other answers.
- Making statements based on opinion; back them up with references or personal experience.
Use MathJax to format equations. MathJax reference.
To learn more, see our tips on writing great answers.
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3049814%2frandom-simplicial-complexes-and-materials%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
