@tinoeberl@mastodon.online2026-08-02 20:22:01
Kumulativer Zubau von #Balkonsolarleistung in #Deutschland mit Stand vom 31.07.2026.
Die summierte Leistung aller offiziell registrierten #Steckersolaranlagen beträgt b…
@tinoeberl@mastodon.online2026-08-02 20:22:01
@arXiv_mathAT_bot@mastoxiv.page2026-06-03 07:44:29
Cheeger Inequalities for the Persistent Laplacian
Magnus Bakke Botnan, Rui Dong
https://arxiv.org/abs/2606.02846 https://arxiv.org/pdf/2606.02846 https://arxiv.org/html/2606.02846
arXiv:2606.02846v1 Announce Type: new
Abstract: We study Cheeger-type inequalities for persistent Laplacians associated with inclusions of simplicial complexes $\mathcal{K}\hookrightarrow \mathcal{L}$. We introduce a persistent up $p$-Laplacian $\Delta_{q,p,\mathrm{up}}^{\mathcal{K},\mathcal{L}}$ for $p\geq 1$. For $p=2$, this recovers the usual persistent up Laplacian, while for $p=1$ it yields a nonzero persistent Cheeger constant $\varphi_q^{\mathcal{K},\mathcal{L}}$. We prove a Cheeger-type inequality relating $\varphi_q^{\mathcal{K},\mathcal{L}}$ to the smallest nonzero eigenvalue of $\Delta_{q,\mathrm{up}}^{\mathcal{K},\mathcal{L}}$. This gives a persistent extension of recent work by Jost and Zhang (Ann. Sc. Norm. Super. Pisa Cl. Sci., 2024; arXiv:2302.01069).
We then study two more structured settings. Under a locally complete $q$-skeleton assumption on $\mathcal{K}$, we extend the complete-skeleton isoperimetric inequality of Parzanchevski--Rosenthal--Tessler (Combinatorica, 2016; arXiv:1207.0638) to the persistent setting. For orientable $(q 1)$-dimensional pseudomanifolds, we prove a Kron-type reduction of the persistent up Laplacian to a vertex- and edge-weighted graph Laplacian, possibly with Dirichlet boundary terms, and obtain two-sided Cheeger inequalities; this is related to the dual-graph perspective in the work of Steenbergen--Klivans--Mukherjee (Adv. Appl. Math., 2014; arXiv:1209.5091). We also describe the nonzero persistent Cheeger constant $\varphi_q^{\mathcal{K},\mathcal{L}}$ explicitly in terms of the dual graph in the non-branching pseudomanifold case. Finally, for graph inclusions $H\hookrightarrow G$, we compare the persistent Cheeger constants introduced here with the Kron-reduction Cheeger constants of M\'emoli et al. (SIAM J. Math. Data Sci., 2022; arXiv:2012.02808).
toXiv_bot_toot
@daniel@social.telemetrydeck.com2026-05-28 21:22:39
Girls just wanna have Pfand
@tinoeberl@mastodon.online2026-07-01 06:17:02
Jährlicher Zubau und Rückbau von #Balkonsolarleistung in Deutschland mit Stand vom 29.06.2026.
Unplausible Inbetriebnahmedaten von 1900 bis 2017 wurden durch das Registrierungsdatum der #Steckersolaranlage ersetzt.
👉 Zusatzlesestoff:
@phpmacher@sueden.social2026-07-27 22:49:47
Ein Wert, der mein Fahren besser beschreibt als Kilometer:
Anteil der Zeit, die ich auf Tour stehe statt fahre.
2022: 36 %
2024: 48 %
2026: 56 %
Mehr als die Hälfte der Zeit stehe ich inzwischen. Pausen, Fotos, Kaffee, Schauen.
Das ist keine Verschlechterung. Das ist der eigentliche Punkt am Reisen.
#Bikepacking
@philip@mastodon.mallegolhansen.com2026-07-27 03:22:06
Over the past couple of nights I've been setting up my Mastodon server on a new Ubuntu 26.04 VM (The original server was set up using Digital Ocean's "One click install" on 20.04 back in 2022).
I feel like a teenager again, in a good way. I haven't had this much fun messing with computers in a long time.
@roelgrif@mstdn.social2026-07-27 05:22:39
@EarthOrgUK@mastodon.energy2026-07-23 19:51:03
Home Heat Pumps: Barriers to Installation (2022) - A case study in the friction in specifying and installing a heat-pump in the UK, even for a savvy early adopter. #heatpump #netZero #futureReady -…
@tinoeberl@mastodon.online2026-06-30 20:22:02
Kumulativer Zubau von #Balkonsolarleistung in #Deutschland mit Stand vom 29.06.2026.
Die summierte Leistung aller offiziell registrierten #Steckersolaranlagen beträgt b…
@carlos@social.perceptiveconstructs.com2026-07-25 23:28:40
@…
I've read the Sprawl Trilogy several times and watched the Blade Runner movies several times too. And I love them.
Yet, it's hard to be excited about these two projects because they are being produced as series by the usual culprits.
Remember "The Peripheral" in 2022?
Cancelled after the 1st season - and it…
I've read the Sprawl Trilogy several times and watched the Blade Runner movies several times too. And I love them.
Yet, it's hard to be excited about these two projects because they are being produced as series by the usual culprits.
Remember "The Peripheral" in 2022?
Cancelled after the 1st season - and it…
@datascience@genomic.social2026-07-16 10:00:00
All the talks from rstudio::conf 2022: https://www.rstudio.com/conference/2022/2022-conf-talks/ 👩🏫 Keynotes: https://www.
@netzschleuder@social.skewed.de2026-07-22 13:00:05
at_migrations: Austrian internal migrations (2002-2022)
A network of migrations between municipalities in Austria, from 2002 to 2022. A weighted directed link from source to target indicates a migration flow from these two municipalities. Edges are annotated with migration volume (number of people), nationality, sex, and year.
This network has 2115 nodes and 2908569 edges.
Tags: Social, Economic, Travel, Weighted, Politlcal, Timestamps, Metadata
@daniel@social.telemetrydeck.com2026-05-22 07:29:09
Good morning gang! Let’s solve the mystery of the missing funnel steps!
@phpmacher@sueden.social2026-07-27 22:43:38
An wie vielen Tagen im Jahr ich überhaupt aufs Rad steige:
2020: 20 %
2022: 64 %
2023: 88 %
2024: 99 %
2025: 97 %
2026: 100 %
Das ist der Wandel, der mir selbst am wenigsten aufgefallen ist. Nicht weiter, nicht schneller. Nur keine Lücken mehr.
Irgendwann hat es aufgehört, eine Entscheidung zu sein.
#Radfahren
@Mediagazer@mstdn.social2026-07-09 22:30:50
Alisa Bowen, president of Disney since late 2022, is leaving to become CEO of Disney-controlled Fubo, succeeding David Gandler, who led Fubo for over a decade (Todd Spangler/Variety)
https://variety.com/2026/tv/news/alisa-bowen-ceo-fubo-disney-plus-1236806015/
@waidler@bayerwald.social2026-07-17 14:47:27
Mixl (AfD) postet: 206.600 Wohnungen 2025, –18 %, Baupreise 5 %. „Dank SPD und Union."
Die Zahlen stimmen. Nur: Was 2025 fertig wurde, wurde 2022/23 genehmigt – Zinsschock. Der ZDB nennt es „direkte Folge des Genehmigungseinbruchs ab 2022". Die Regierung ist seit Mai 2025 im Amt.
Und: Beim Bau-Turbo (§246e BauGB, 9.10.2025) – Genehmigung in 2 Monaten – stimmte die AfD dagegen.
Er fordert, was er abgelehnt hat.
Quellen: destatis.de, bundestag.de Drs. 21/781neu…
@v_i_o_l_a@openbiblio.social2026-07-06 12:55:33
"Open Access Publishing Fund Efficiency: An Expansion and Replication of Luo et al. (2022)"
https://doi.org/10.18438/eblip30968
"This study’s objective was to replicate and test Luo et al.’s (2022) proposals regarding open access publishing fund efficiency, specifically the time ef…
@raiders@darktundra.xyz2026-07-23 17:06:39
Raiders sign first-round pick QB Fernando Mendoza https://www.raiders.com/news/raiders-sign-first-round-pick-fernando-mendoza-quarterback-indiana-2026-nfl-draft
@fanf@mendeddrum.org2026-07-11 20:42:02
from my link log —
What is PL research and how is it useful?
http://www.pl-enthusiast.net/2015/05/27/what-is-pl-research-and-how-is-it-useful/
saved 2022-09-28
@bici@mastodon.social2026-07-15 22:17:03
@daniel@social.telemetrydeck.com2026-05-21 07:16:26
Oh wow I’ve amassed over 2000 followers on the Fediverse! That‘s absolutely ludicrous 😍
@Sustainable2050@mastodon.energy2026-07-05 10:22:06
The first half of 2026 was the 5th warmest on record here in the central Netherlands.
Just following the forecast for the coming 2 weeks, and then the 1991-2020 average (cool by now) would already bring this year into the top-3 warmest since 1901.
@cdarwin@c.im2026-07-03 22:21:31
In the Summer of 2022, Greek politician Stelios Kouloglou was investigating how intrusive spyware had been used to hack business leaders, law enforcement officials, and politicians.
As part of the European Parliament’s PEGA Committee,
set up to investigate the use of the notorious Pegasus spyware and other variants,
Kouloglou travelled to interview spyware victims and probe high-profile cases.
That fall, according to a new forensic analysis,
💥Kouloglou’s iPhone …
@datascience@genomic.social2026-07-14 10:00:01
"Graphic Design with #ggplot2": All material from this 2 day workshop can be found at https://rstudio-conf-2022.github.io/ggplot2-graphic-design/
@daniel@social.telemetrydeck.com2026-05-21 16:26:51
„Eichhörnchen sind ja auch nur kleine Nussfüchse“
@netzschleuder@social.skewed.de2026-05-22 07:00:05
faculty_hiring_us: Faculty hiring networks in the US (2022)
Networks of faculty hiring for all PhD-granting US universities over the decade 2011–2020. Each node is a PhD-granting institution, and a directed edge (i,j) indicates that a person received their PhD from node i and was tenure-track faculty at node j during time of collection (2011-2020). This dataset is divided into separate networks for all 107 fields, as well as aggregate networks for 8 domains, and an overall network for …
@kexpmusicbot@mastodonapp.uk2026-06-10 21:40:57
🇺🇦 #NowPlaying on KEXP's #AfternoonShow
Portishead:
🎵 Wandering Star
#Portishead
https://andrewcolohan.bandcamp.com/track/portishead-wandering-star-cover-2022
https://open.spotify.com/track/7h14W1uQK7sjpVI1oVTobt
@netzschleuder@social.skewed.de2026-07-07 19:00:06
faculty_hiring_us: Faculty hiring networks in the US (2022)
Networks of faculty hiring for all PhD-granting US universities over the decade 2011–2020. Each node is a PhD-granting institution, and a directed edge (i,j) indicates that a person received their PhD from node i and was tenure-track faculty at node j during time of collection (2011-2020). This dataset is divided into separate networks for all 107 fields, as well as aggregate networks for 8 domains, and an overall network for …
@servelan@newsie.social2026-07-08 18:37:29
"U.S. Court of Appeals for the 11th Circuit upheld a 2022 injunction against applying the law to colleges and universities"
Court issues major blow to DeSantis's "Stop WOKE Act" & calls it "a breathtaking assertion of power" - LGBTQ Nation
https://www.lgbtqnation.com/2026/07/court-issues-major-blow-to-desantiss-stop-woke-act-calls-it-a-breathtaking-assertion-of-power/
@vosje62@mastodon.nl2026-07-10 14:15:31
Vaak ben ik het wel met Yusibov eens, maar in dit geval niet. De oorlog winnen en een sterke Poetin in het zadel houden in 2022 had niets opgelost.
Rusland moet uiteindelijk zien dat Poetin geen oplossing biedt. De oorlog die Oekraïne nu naar Rusland brengt kan daar hopelijk het nodige aan bijdragen.
De oorlog van dit moment was in 2022 niet mogelijk.
Isa Yusibov: "For four years, European leade…"
https://mastodon.nl/@isayusibov.bsky.social@bsky.brid.gy/116895976760882255
