Below are 20 journal entries, after skipping by the 20 most recent ones recorded in друг друга пердуна's LiveJournal:

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Wednesday, May 1st, 2024
11:57 pm	очень нравятся каналы с АИ хитами I Think I Just Shit In My Pants (rare 1960's soul vinyl) https://www.youtube.com/watch?v=rP_yWoH_Nxs Liquid Poo-Poo - Hookah Harry (1977) https://www.youtube.com/watch?v=EVN9J3f2eaI и самое любимое Daydreamin' (About Taking a Huge Dump, Then Getting up To Piss on the Dump To Cut It in Half) https://www.youtube.com/watch?v=17toLteDPNk Rodney Munch - It's Time To Take a Shit on the Company​’​s Dime (FULL SONG) https://www.youtube.com/watch?v=7zTei5RMhQ8 Fuggin' Gabagool - Paulie and Paula Goombah (1955) https://youtu.be/AsFfosXQmPA?si=St0EArt_kHwb4TkB First Date Farts (Don't Shit, Don't Shit, Don't Shit) https://www.youtube.com/watch?v=XWhCmFieqc4 (Comment on this)
11:55 pm	Billy Boy- The Novells https://www.youtube.com/watch?v=noQ_RlGyLdg Unidentified group probably from Minnesota, USA. Apart from a certain Steve Johnson, I don't know the names of the members. This music is a strange cover of that of Graeme Allwright (who is French). This version was released in 1967 on the Westchester label with the B-side "Go Now". More information about them will be welcome. It's a recording that I made alone like a grown-up with my first vinyl ^^ that I received. (Comment on this)
Tuesday, April 30th, 2024
7:57 pm	https://arxiv.org/abs/2312.12084v3 Differentiability of Adelic Volumes and Equidistribution on Quasi-Projective Varieties Debam Biswas Differentiability of geometric and arithmetic volumes of Hermitian line-bundles leads to the proof of equidistribution results on projective varieties using the variational principle. In this article, we work in the setting of adelic divisors on quasi-projective varieties recently introduced by Xinyi Yuan and Shou-Wu Zhang to show that their geometric and arithmetic adelic volume functions are differentiable on the big cone. We introduce the notions of positive intersection products and show that the differentials are realised as positive intersection products against integrable divisors at big points. We show an analogue of the Fujita Approximation for restricted volumes of adelic divisors in the geometric setting using a construction similar to those of positive intersections and as an application of our differentiability result we derive a slightly weaker quasi-projective analogue of the equidistribution theorem of Berman and Boucksom which generalises the equidistribution obtained by Yuan and Zhang for arithmetically nef adelic divisors on quasi-projective varieties. (Comment on this)
Monday, April 29th, 2024
2:30 am	BOUNDS FOR GRADIENT TRAJECTORIES AND GEODESIC DIAMETER OF REAL ALGEBRAIC SETS D. D'ACUNTO and K. KURDYKA Let $M\subset \mathbb{R}^n$ be a connected component of an algebraic set $\varphi^{-1}(0)$, where $\varphi$ is a polynomial of degree $d$. Assume that $M$ is contained in a ball of radius $r$. We prove that the geodesic diameter of $M$ is bounded by $2r\nu(n)d(4d-5)^{n-2}$, where $\nu(n)=2{\Gamma({1}/{2})\Gamma(({n+1})/{2})}{\Gamma({n}/{2})}^{-1}$. This estimate is based on the bound $r\nu(n)d(4d-5)^{n-2}$ for the length of the gradient trajectories of a linear projection restricted to $M$. --- туда же много интересного про "управляемую трансверсальность" и оценку диаметра в терминах степени тут https://projecteuclid.org/journals/journal-of-differential-geometry/volume-44/issue-4/Symplectic-submanifolds-and-almost-complex-geometry/10.4310/jdg/1214459407.full Symplectic submanifolds and almost-complex geometry S. K. Donaldson (Comment on this)
Friday, April 26th, 2024
1:46 am	узнал из подкаста про духа эмануэля и шико шавьера, самого великого бразильца всех времен по мнению бразильцев https://en.wikipedia.org/wiki/Chico_Xavier On October 3, 2012, the SBT television TV show O Maior Brasileiro de Todos os Tempos named Chico Xavier "The Greatest Brazilian of all time", based on a viewer-supported survey. (Comment on this)
1:06 am	https://www.youtube.com/@PARANORMALCORTES/videos кстати хороший бразильский канал c отрывками из подкаст с интервью про паранормальные явления теории заговора и все такое кто такое любят (Comment on this)
1:02 am	Seu Zé Pilintra....Sua morada https://pt.wikipedia.org/wiki/Z%C3%A9_Pelintra https://www.youtube.com/watch?v=yChTUOMxppQ https://www.youtube.com/shorts/ebcfhq83Zrk (Comment on this)
12:57 am	Pois É, Seu Zé Luiz Américo - Pois É, Seu Zé (1973) https://youtu.be/5N-BkpefQPE?si=GcuylDrbm96FdOMh Gonzaguinha - Pois É, Seu Zé https://youtu.be/iK9tg1TriMs?si=FF2om7ThcmbPQves (Comment on this)
Thursday, April 25th, 2024
11:50 pm	Lana Del Rey - Elvis https://youtu.be/8kZaj6341Mw?si=fteBCIKNTnM4POaC (Comment on this)
11:46 pm	Só Que Deram Zero Pro Bedeu (Bedeu) · Claudya https://youtu.be/Z_L8Yz2xEeI?si=ZBiwiUemwr_Twt67 (Comment on this)
11:40 pm	Pois É, Seu Zé · Claudya 1973 https://youtu.be/LePPuOExBhA?si=euYNEFln1Vc7h65Q (Comment on this)
11:30 pm	Carlos Perón - Nothing Is True; Everything Is Permitted (1984) https://www.youtube.com/watch?v=7E5cBcHuz5w (Comment on this)
11:25 pm	The Vampires' Sound Incorporation - Psychedelic Dance Party (1969) https://youtu.be/tPzfMCz2so4?si=xwOJuVTTwBtef9Mv (Comment on this)
9:41 pm	https://arxiv.org/abs/1106.5244 Equidistribution of zeros of holomorphic sections in the non compact setting Tien-Cuong Dinh, George Marinescu, Viktoria Schmidt Journal of Statistical Physics, 2012 We consider N-tensor powers of a positive Hermitian line bundle L over a non-compact complex manifold X. In the compact case, B. Shiffman and S. Zelditch proved that the zeros of random sections become asymptotically uniformly distributed with respect to the natural measure coming from the curvature of L, as N tends to infinity. Under certain boundedness assumptions on the curvature of the canonical line bundle of X and on the Chern form of L we prove a non-compact version of this result. We give various applications, including the limiting distribution of zeros of cusp forms with respect to the principal congruence subgroups of SL2(Z) and to the hyperbolic measure, the higher dimensional case of arithmetic quotients and the case of orthogonal polynomials with weights at infinity. We also give estimates for the speed of convergence of the currents of integration on the zero-divisors. (Comment on this)
3:38 am	Hildegard of Bingen: Caritas abundant in Omnia - Love Aboundeth In All Things https://www.youtube.com/watch?v=F3yEi782RC8 Karitas habundat in omnia, de imis excellentissima super sidera atque amantissima in omnia, quia summo regi osculum pacis dedit. Love abounds in all, from the depths exalted and excelling over every star, and most beloved of all, for to the highest King the kiss of peace she gave. (Comment on this)
3:17 am	Russian folk tune "Batyushka" https://www.youtube.com/watch?v=1RUP0IsSkIY The traditional tune of the Kursk region "Batyushka" (Father) is performed by: Evgeny Shestopalov, Ariadna Shestopalova, Arseny Konev, Olga Litavrina, Maria Shatokhina, Anastasia Chaplygina, Roman Lukyanchikov, Victoria Sigutina, Maxim Melnikov, Irina Shestopalova, Sergey Biryukov, Anna Gakhova, Victoria Muntyanova, Arseny Shestopalov Musical instruments: kugikly, balalaika, Kursk pipe, Kursk horn March 2024, Sudzha, Kursk region, Russia (Live sound) (Comment on this)
Wednesday, April 24th, 2024
11:49 pm	возникла вот такая картинка: если у нас есть труба профиль которой очень длинная замкнутая кривая. если мы выберем любое направление L и любую плоскость H, не проходящую через ось трубы, то сечение трубы плоскостью H будет иметь диаметр не меньший чем диаметр изначальной кривой. более того проекция этого сечения на плоскость вдоль направления L уменьшает диаметр, в худшем случае умножая его на положительную константу [константа зависит от угла \alpha между H и L], потому что проекция липшицева, c константой типа cos \alpha. то есть если мы выберем угол по которой режем трубу то если мы будем удлинять сечение добавляю больше складок то сечение тоже будет становиться сколько угодно длинным и его проекция. ну хочется что-то такое использовать чтобы строить многообразия большого диаметра из многообразий большого диаметра меньшей размерности. ну например возьмем сюрьективное непрерывное отображение F из трехмерной сферы в двумерную, например Хопфа. зафиксируем на каждой сфере круглую метрику а на их произведении -- метрика произведения. для любой кривой C в S^2 возьмем цилиндр C\times S^3 в произведении S^3\times S^2 размерность этого цилиндра 4 в 5-мерном пространстве. теперь пересечем его с графиком F, размерность которого 3, то есть ожидаемая размерность пересечения 2. диаметр этого пересечения S [в метрика индуцироованной с метрики произведения] не меньше диаметра C [любой путь при проецированияя на S^2 только уменьшит длину]. при необходимости можно немного пошевелить F чтобы персечение стало многообразием ожидаемой размерности, при шевелении сюрьективность F не изменится. F у нас выбрано наперед и ограничение на график F проекции из S^3\times S^2 на S^3 это липшицева взаимно-однозначная функция, с минимумом нормы производной -- каким-то положительным [быть может очень маленьким] числом \epsilon. диаметр S при проецировании в худшем случае умножится на \epsilon. образ S будет каким-то погруженным многообразием в S^3 размерности два и любого диаметра. кажется работает. если работает, то следующий шаг будет попробовать проделать то же самое с CP^3 и CP^2 и в качестве графика F брать замыкание графика какого-нибудь доминантного рационального морфизма. (Comment on this)
2:03 am	https://arxiv.org/abs/2404.14595 Formal structure of scalar curvature in generalized Kähler geometry Vestislav Apostolov, Jeffrey Streets, Yury Ustinovskiy Building on works of Boulanger and Goto, we show that Goto's scalar curvature is the moment map for an action of generalized Hamiltonian automorphisms of the associated Courant algebroid, constrained by the choice of an adapted volume form. We derive an explicit formula for Goto's scalar curvature, and show that it is constant for generalized Kähler-Ricci solitons. Restricting to the generically symplectic type case, we realize the generalized Kähler class as the complexified orbit of the Hamiltonian action above. This leads to a natural extension of Mabuchi's metric and K-energy, implying a conditional uniqueness result. Finally, in this setting we derive a Calabi-Matsushima-Lichnerowicz obstruction and a Futaki invariant. (Comment on this)
1:51 am	Alexandrov spaces are CS sets Tadashi Fujioka We prove that the extremal stratification of an Alexandrov space by Perelman-Petrunin is a CS stratification in the sense of Siebenmann. We also show that every space of directions of an Alexandrov space without proper extremal subsets is homeomorphic to a sphere. In the appendix we give an example of a primitive extremal subset of codimension 2 that is not an Alexandrov space with respect to the induced intrinsic metric. https://arxiv.org/abs/2404.14587 (Comment on this)
12:32 am	Vitroles - Gatinha comunista https://www.youtube.com/watch?v=-baB66elbtc Letra: A minha vida estava sem sentido Eu precisava de uma revolução O que eu não tinha percebido É que um espectro rondava o meu coração Depois que eu te vi pensei que nada mais valia Não ter você é a minha alienação Minha gatinha comunista eu preciso te dizer Que eu acho que o vermelho fica tão bem em você Espero que você abra uma exceção: Eu quero a propriedade privada do seu coração Eu não quero ser só mais um camarada Eu quero ficar com você até a morte E se algum outro homem estiver na jogada Eu boto ele pra correr igual o traidor do Trótski Nem o materialismo dialético é tão certo Quanto o que eu sinto quando você está por perto Minha gatinha comunista eu preciso te dizer Que eu acho que o vermelho fica tão bem em você Espero que você abra uma exceção: Eu quero a propriedade privada do seu coração Não deixe que a revolução tome tanto tempo assim Nos seus planos quinquenais guarde espaço para mim Porque quem ama não vive só de memória Como já dizia Fukuyama, esse seria o fim da nossa história Minha gatinha comunista eu preciso te dizer Que eu acho que o vermelho fica tão bem em você Espero que você abra uma exceção: Eu quero a propriedade privada do seu coração Agora em russo! Моя кошечка-комунистка, я хочу тебе сказать, Что тебе так идет красный цвет. Надеюсь, ты сделаешь мне исключение: Я хочу быть частным собственником твоего сердца Minha gatinha comunista eu preciso te dizer Que eu acho que o vermelho fica tão bem em você Espero que você abra uma exceção: Eu quero a propriedade privada do seu coração (Comment on this)