2026-07-18 09:51:03
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 -…
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 -…
All the talks from rstudio::conf 2022: https://www.rstudio.com/conference/2022/2022-conf-talks/ 👩🏫 Keynotes: https://www.
Heute vor 61 Jahren: Am 16. Juli 1965 zündeten die #USA im Rahmen von Operation Whetstone die Atombombe "Bye". Whetstone war eine Serie von #Kernwaffentests bei der 1964/65 insgesamt 46 Bomben größtenteils im Testgebiet in
My mother brought me to this country from Peru as a young boy.
She always told me that we need to work hard, give back, and help our community,
because that is what it means to be an American.
When she died of COVID-19,
I promised I would fight like hell for every family like ours.
In 2022 my community sent me to Congress - the first openly LGBTQ immigrant ever elected - to do just that.
I’m Robert Garcia – now the top Democrat on the House Ov…
Privacy token Zcash plunges after the disclosure of a 2022 vulnerability in its Orchard shielded pool that could have allowed undetectable ZEC counterfeiting (Akash Girimath/Decrypt)
https://decrypt.co/370105/zec-crashes-38-as-zcash-discloses…
Girls just wanna have Pfand
i'm finna sneak into the fourth of july parade in the a.m., which has become sort of an annual tradition
in recent years i've been forced to walk alone, as the local politicos found my sign (DOWN WITH CARS on one side, UPZONE EVERYTHING on the other) off-key
new sign this year: POWER TO THE PEOPLE on one side, HANDS OFF CUBA & IRAN on the other. i'm guessing i'll be marching alone again #alas
Pleased to share that my paper, "Practitioners at the Limit: Bereavement, Mockery and Ideology in Response to Crisis" is now available as a preprint on arxiv. https://arxiv.org/abs/2606.30667
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 …
On Website Technicals (2022-07) - Tech updates: hot, cross (references). - https://www.earth.org.uk/note-on-site-technicals-62.html
Heute vor 3 Jahren: Am 14. Juni 2023 erklärte der belarussische Präsident Aleksander Lukaschenko in einem Fernsehinterview mit dem russischen Staatssender Russia-1, dass #Belarus, wie am 25.03.23 durch Putin angekündigt, #Kernwaffen von Russland erhalten habe.
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