Interested in the analysis of time series of psychological variables? Study this paper in Behavior Research Methods by Kelty-Stephen et al. (2023): doi.org/10.3758/s13428…

This paragraph title is the tl;dr:

'Nonlinearity: Not simply curviness but a failure to reduce to a sum'

Manipulating spectral topology and exceptional points by nonlinearity in non-Hermitian polariton systems, Jan Wingenbach, Stefan Schumacher, and Xuekai Ma #AtomicPhysics #CondensedMatter go.aps.org/3UsRVa3

I wanna try something like this out. An RNN with expressive input-dependent transitions but no recurrent nonlinearity. Gives me representation theory vibes…

If you're at #Cosyne2024 , check out my student Siddharth Paliwal's session 3 poster, 3-151 'Interplay between reset and nonlinearity drives metastability in networks of stochastic spiking neurons,' presented by collaborator & co-senior author Gabe Ocker!

If you perturb the transition rates of an edge in a Markov chain, currents respond nonlinearly, and this nonlinearity has been an important object in stat mech for the past 30 years or so.

But what happens if we plot any two perturbed currents against each other?

Effects of soil nonlinearity on the active length of piles embedded in cohesionless soil model studies eurekamag.com/research/036/9…

How to distill…
Gigamapping
Nonlinearity
Chaos Theory
Those are my late night thoughts lately
#gigamapping

The Collusion of Memory and Nonlinearity in Stochastic Approximation With Constant Stepsize ift.tt/mDVrlIA

nonlinearity !! 🥂🥂

Great new work by Javier E. Santos Hari Viswanathan, Nicholas Lubbers et al Los Alamos National Laboratory - 'Learning a general model of single phase #flow in complex 3D #porousmedia ' - iopscience.iop.org/article/10.108… #machinelearning #complexity #fluids #materials #geoscience #statphys #nonlinearity

Today we're posting recent articles that have been popular on WeChat. Next up:

Giant enhancement of optical nonlinearity from monolayer MoS2 using plasmonic nanocavity

Enhancing second (SHG) and third-harmonic generations (THG) from the monolayer MoS2 using a multi-resonant Au

At American Physical Society March Meeting 2024, come see our two sessions tomorrow: Functionality Through Nonlinearity I and II (A34 & B34). Lots of good talks!

PT Brun, Princeton University Liquids&Elasticity LAB @Princeton kicked off Functionality Through Nonlinearity I. We are in room 102 F. Talking about The Omnipotence of Rods!

4.IV

Transformation of the Day #TOTD

The Cole–Hopf transformation
#mathematicianoftheday #MOTD

'...is a change of variables that allows to transform a special type of parabolic PDEs with a quadratic nonlinearity into a linear heat equation'

en.wikipedia.org/wiki/Cole–Hopf…

Learn about internal gravity waves in stratified flows. Here, Labarre et al. investigate the interplay between vortical modes and wave turbulence, highlighting the importance of weak nonlinearity and spatial scale separation. More @ go.aps.org/3T5vir5 #fluiddynamics

I like the immense bias that using ReLU (and ReLU-like functions) as the nonlinearity in the new era of Deep Learning had. Low frequency functions are easily learned, irrespective of network depth and weight magnitude. arxiv.org/abs/2403.02241 has more to say, I recommend it

August 2015...

'The concept of metamaterials is of growing importance for manipulating THz pulse characteristics.'

Terahertz light bullet-induced nonlinearity in a gold thin film

ieeexplore.ieee.org/document/73274…

Real life is difficult to model mathematically due to nonlinearity. Such as the cost of adding cheese:

Adding cheese to little hamburger is less than to hamburger. But adding cheese to bacon hamburger is less than to little hamburger.

What is the role of complexity, nonlinearity and phase transitions in conservation biology? What kind of lessons from maths can help preserve biodiversity? Here's my last paper in Biological Conservation. Fernando T. Maestre sciencedirect.com/science/articl…