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Numerical analysis of a time-stepping method for the Westervelt equation with time-fractional damping

Katherine Baker, Lehel Banjai and Mariya Ptashnyk
Math. Comp. 93 (), 2711-2743.
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High-order splitting finite element methods for the subdiffusion equation with limited smoothing property

Buyang Li, Zongze Yang and Zhi Zhou
Math. Comp. 93 (), 2557-2586.
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Exploring Thermodynamics with Billiards

Tim Chumley explains the connections between random billiards and the science of heat and energy transfer. If you've ever played billiards or pool, you've used your intuition and some mental geometry to plan your shots. Mathematicians have gone a step further, using these games as inspiration for new mathematical problems. Starting from the simple theoretical setup of a single ball bouncing around in an enclosed region, the possibilities are endless. For instance, if the region is shaped like a stadium (a rectangle with semicircles on opposite sides), and several balls start moving with nearly the same velocity and position, their paths in the region soon differ wildly: chaos. Mathematical billiards even have connections to thermodynamics, the branch of physics dealing with heat, temperature, and energy transfer.




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Supporting Wildlife with Statistics

Dr. Outi Tervo of Greenland Institute for Natural Resources, shares how mathematics helps recommend speed limits for marine vessels, which benefits narwhals and Inuit culture. Narwhals "can only be found in the Arctic," said Outi Tervo, a senior scientist at GINR. "These species are going to be threatened by climate change more than other species that can live in a bigger geographical area." The collaboration has already lobbied on behalf of the narwhals to reduce the level of sea traffic in their habitat, after using mathematical analysis to identify how noise from passing boats changes the narwhals' foraging behavior.




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Amitsur Centennial Symposium

Avinoam Mann, Louis H. Rowen, David J. Saltman, Aner Shalev, Lance W. Small and Uzi Vishne, editors. American Mathematical Society | Bar-Ilan University, 2024, CONM, volume 800, approx. 320 pp. ISBN: 978-1-4704-7555-0 (print), 978-1-4704-7613-7 (online).

This volume contains the proceedings of the Amitsur Centennial Symposium, held from November 1–4, 2021, virtually and at the Israel Institute for...




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Opening ASBMB publications freely to all [Editorial]

We are extremely excited to announce on behalf of the American Society for Biochemistry and Molecular Biology (ASBMB) that the Journal of Biological Chemistry (JBC), Molecular & Cellular Proteomics (MCP), and the Journal of Lipid Research (JLR) will be published as fully open-access journals beginning in January 2021. This is a landmark decision that will have huge impact for readers and authors. As many of you know, many researchers have called for journals to become open access to facilitate scientific progress, and many funding agencies across the globe are either already requiring or considering a requirement that all scientific publications based on research they support be published in open-access journals. The ASBMB journals have long supported open access, making the accepted author versions of manuscripts immediately and permanently available, allowing authors to opt in to the immediate open publication of the final version of their paper, and endorsing the goals of the larger open-access movement (1). However, we are no longer satisfied with these measures. To live up to our goals as a scientific society, we want to freely distribute the scientific advances published in JBC, MCP, and JLR as widely and quickly as possible to support the scientific community. How better can we facilitate the dissemination of new information than to make our scientific content freely open to all?For ASBMB journals and others who have contemplated or made the transition to publishing all content open access, achieving this milestone generally requires new financial mechanisms. In the case of the...





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Degenerate complex Monge-Ampère type equations on compact Hermitian manifolds and applications

Yinji Li, Zhiwei Wang and Xiangyu Zhou
Trans. Amer. Math. Soc. 377 (), 5947-5992.
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Lie groups with all left-invariant semi-Riemannian metrics complete

Ahmed Elshafei, Ana Cristina Ferreira, Miguel Sánchez and Abdelghani Zeghib
Trans. Amer. Math. Soc. 377 (), 5837-5862.
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Characterization of ????-concavity preserved by the Dirichlet heat flow

Kazuhiro Ishige, Paolo Salani and Asuka Takatsu
Trans. Amer. Math. Soc. 377 (), 5705-5748.
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????????-duality for self-similar groupoid actions on graphs

Nathan Brownlowe, Alcides Buss, Daniel Gonçalves, Jeremy B. Hume, Aidan Sims and Michael F. Whittaker
Trans. Amer. Math. Soc. 377 (), 5513-5560.
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Compressible Euler limit from Boltzmann equation with complete diffusive boundary condition in half-space

Ning Jiang, Yi-Long Luo and Shaojun Tang
Trans. Amer. Math. Soc. 377 (), 5323-5359.
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LEGO Classic Space: the robot final rebellion on the capital planet ousts the federation rule and replace with a techno republic and dictatorship (the final episode (for a while)) (AFOL toy hobby photography with droids, police and minifigures city MOC

dannyhennesy posted a photo:

On the Capital planet the rebellious droids had followed maily the Bat-Bot, but as time progressed his circuits had gone all mushy at 780 years or so without maintenance…

Several splinter groups all with their local bot leaders emerged such as the Che-bot, the traffic-light-robot and the Butt-bot, but none of these collected enough sentient circuits to call themselves a popular (or Animata) mass movement!

That was until a cyborg came along, one known as Jones, a long time prisoner and terrorist, his easy solutions to every problem rang well in the masses' auditory circuits!!!

His slogans and simple rhetoric were simple enough for the simple traffic-light to comprehend and cheer!

His language was full of hate towards the organics and especially the humans who were the most common races among the ruling class of the federation!!!

Despite being a “Fleshie” himself his message collected the angry enslaved
bot community by only weeks all rebellious robots except for a few fringe loonies had forgotten the old leaders…

One morning at Jones gave the signal…

All over the capital planet hordes and swarms of any form of mechanical sentient beings attacked first the police stations, then the Company boards running the planet and the federation as well as their starfleet…

Many died, especially the low level police and army! Many mechanicals died too, but their ranks were soon filled by Mutant fleshie allies of the lower levels who hated the Federation feudal society and upper classes as much as their technological allies…

The Federation state apparatus and ruling class, most of their fleet army fled when they knew the game was up, they activated the emergency escape plan and whole city blocks with important factories, administrational units, valuable assets and so on separated from the capital by hidden rocket engines and homed in their course to Mars…

On Mars the federation regrouped and formed their new society…

On the Capital planet, the robots proclaimed the first Techno-republic of the advanced inorganic civilization, the low level fleshies left behind, became slaves and their mutant allies got to rule their own minute chiefdoms as protectorates under the Techno-republic…

Jones was now the undisputed ruler of the capital planet, but the victory was a pyrros one since, all important buildings, all of value was now one Mars!

But as Jones put it:

Our proud race the Techno-species didn’t need the Fleshies administration, their infrastructure, their spaceships…

We shall start from scratch, with a new administration, a new order, every droid shall work at 4x speed than they did during human oppression since now we are free and the fleshies shall work twice as hard than the Techno-Race, until we have breed enough new fleshies so they can do all work!

Our future is bright and shiny like glistering shiny metal!

The snapshot seen here is from the first police station attacked in sector 45-34v-ss-g the first one to fall according to official techno-history!

———————————————/
Designers note:

I am sad to say that this is the last episode in this years-spanning space series… At least for a while, I will still post LEGO hobby stuff here but without a storyline, perhaps small designs and builds… and occasionally a story when I feel like it!!!

I would like to thank all who had been in this journey of our heros, but it has taken far to much time and effort and since the state of the world is as it is, I am spiraling down in another depression, I must stop it before I reach the abyss, so I have remove some stress out of my equation… I ended it in a cliffhanger so I can easily restart it when my mental health improves… I hope that won’t be forever???

I would love if someone used my characters or ideas, please send me a link if you do, I would love to read it or look at it!!!

But there will be more Lego, just in different format without long stories, I need to focus more on my art and to be honest that is the only time the mental pain eases, when I create!!!


Peace and Noise!

MushroomBrain a FOL





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Smoothness and Lévy concentration function inequalities for distributions of random diagonal sums

Bero Roos
Theor. Probability and Math. Statist. 111 (), 137-151.
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Asymptotic normality of estimators for all parameters in the Vasicek model by discrete observations

Olha Prykhodko and Kostiantyn Ralchenko
Theor. Probability and Math. Statist. 111 (), 123-135.
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A convolution inequality, yielding a sharper Berry–Esseen theorem for summands Zolotarev-close to normal

Lutz Mattner
Theor. Probability and Math. Statist. 111 (), 45-122.
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Large deviations for perturbed Gaussian processes and logarithmic asymptotic estimates for some exit probabilities

Claudio Macci and Barbara Pacchiarotti
Theor. Probability and Math. Statist. 111 (), 21-43.
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A Markovian Gauss inequality for asymmetric deviations from the mode of symmetric unimodal distributions

Chris A.J. Klaassen
Theor. Probability and Math. Statist. 111 (), 9-19.
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Unconditional Cesàro convergence of sequences of super-reflexive valued random variables

Abdessamad Dehaj and Mohamed Guessous
Theor. Probability and Math. Statist. 111 (), 1-8.
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????²-spectrum, growth indicator function and critical exponent on locally symmetric spaces

Lasse L. Wolf and Hong-Wei Zhang
Proc. Amer. Math. Soc. 152 (), 5445-5453.
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Can a chemotaxis-consumption system recover from a measure-type aggregation state in arbitrary dimension?

Frederic Heihoff
Proc. Amer. Math. Soc. 152 (), 5229-5247.
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Blow-up solutions of fractional diffusion equations with an exponential nonlinearity

Anh Tuan Nguyen, Tómas Caraballo and Nguyen Huy Tuan
Proc. Amer. Math. Soc. 152 (), 5175-5189.
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On the analyticity of the maximal extension of a number field with prescribed ramification and splitting

Donghyeok Lim and Christian Maire
Proc. Amer. Math. Soc. 152 (), 5013-5024.
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Threshold approximations for the exponential of a factorized operator family with correctors taken into account

T. A. Suslina
St. Petersburg Math. J. 35 (), 537-570.
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Transmitting Data with Polar Codes




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Does He Have It?: Sensitivity, Specificity, and COVID-19 Testing