ALL libraries (COBIB.SI union bibliographic/catalogue database)
-
Approximations of 1-dimensional intrinsic persistence of geodesic spaces and their stabilityVirk, Žiga, 1982-Standarden način aproksimacije ali diskretizacije metričnega prostora vključuje konstrukcijo Ripsovih kompleksov. Kolekcijo takih aproksimacij za vse parametre povežemo v filtracijo, na kateri ... uporabimo funktorja fundamentalne grupe ali prve homologije. Dobljenemu objektu bomo rekli vztrajnost. Pred kratkim dobljeni rezultati nakazujejo, da vztrajnost kompaktnega geodezičnega lokalno kontraktibilnega prostora ▫$X$▫ vsebuje geometrijsko informacijo o prostoru. Taka vztrajnost po definiciji uporablja Ripsove komplekse na neštevno mnogo točkah. V tem članku pokažemo, da lahko kljub temu celotno vztrajnost ▫$X$▫ dobimo iz ustreznega končnega vzorca. Poleg tega pokažemo, da je vztrajnost poljubnega končnega vzorca dobro prepletena z vztrajnostjo celotnega prostora. Iz teh ugotovitev sledi, da je vztrajnost prostora minimum vztrajnosti, dobljenih z uporabo končnih podprostorov. Poleg tega dokažemo precej izboljšan izrek o stabilnosti za aproksimacije s končnimi podmnožicami. Kot poseben primer lahko podamo za poljuben ▫$r > 0$▫ gostoto ▫$s > 0$▫, tako da je za vsako ▫$s$▫-gosto podmnožico ▫$S$▫ v ▫$X$▫, pripadajoča fundamentalna grupa Ripsovega kompleksa ▫$S$▫ pri ▫$r$▫ izomofrna fundamentalni grupi Ripsovega kompleksa ▫$X$▫ pri ▫$r$▫, iz česar sledi izboljšan rekonstrukcijski rezultat.Source: Revista matemática complutense. - ISSN 1139-1138 (Vol. 32, iss. 1, Jan. 2019, str. 195-213)Type of material - article, component part ; adult, seriousPublish date - 2019Language - englishCOBISS.SI-ID - 18410073
Author
Virk, Žiga, 1982-
Topics
vztrajnost |
geodetski prostor |
geodetska krožnica |
Ripsov kompleks |
persistence |
geodesic space |
minimal homology basis |
geodesic circle |
Rips complex
![loading ... loading ...](themes/default/img/ajax-loading.gif)
Shelf entry
Permalink
- URL:
Impact factor
Access to the JCR database is permitted only to users from Slovenia. Your current IP address is not on the list of IP addresses with access permission, and authentication with the relevant AAI accout is required.
Year | Impact factor | Edition | Category | Classification | ||||
---|---|---|---|---|---|---|---|---|
JCR | SNIP | JCR | SNIP | JCR | SNIP | JCR | SNIP |
Select the library membership card:
If the library membership card is not in the list,
add a new one.
DRS, in which the journal is indexed
Database name | Field | Year |
---|
Links to authors' personal bibliographies | Links to information on researchers in the SICRIS system |
---|---|
Virk, Žiga, 1982- | 26522 |
Source: Personal bibliographies
and: SICRIS
Select pickup location:
Material pickup by post
Delivery address:
Address is missing from the member's data.
The address retrieval service is currently unavailable, please try again.
By clicking the "OK" button, you will confirm the pickup location selected above and complete the reservation process.
By clicking the "OK" button, you will confirm the above pickup location and delivery address, and complete the reservation process.
By clicking the "OK" button, you will confirm the address selected above and complete the reservation process.
Notification
Automatic login and reservation service currently not available. You can reserve the material on the Biblos portal or try again here later.
Subject headings in COBISS General List of Subject Headings
Select pickup location
The material from the parent unit is free. If the material is delivered to the pickup location from another unit, the library may charge you for this service.
Pickup location | Material status | Reservation |
---|
Reservation in progress
Please wait a moment.
Reservation was successful.
Reservation failed.
Reservation...
Membership card:
Pickup location: