Holographic entanglement entropy with conformal boundary conditions
Elena C\'aceres, Hare Krishna, Harita Palani Balaji, Vaishnavi Patil
https://arxiv.org/abs/2608.06277 https://arxiv.org/pdf/2608.06277 https://arxiv.org/html/2608.06277
arXiv:2608.06277v1 Announce Type: new
Abstract: We study holographic entanglement entropy in 3-dimensional AdS gravity with conformal boundary conditions which fix the conformal class of the boundary metric and its extrinsic curvature, $K$, while leaving the Weyl mode dynamical. Extending Lewkowycz-Maldacena-Dong's replica construction, we derive the corresponding holographic entanglement entropy formula. We show that the fluctuating Weyl mode does not contribute additional entropy. The entropy of the full boundary is therefore the Bekenstein-Hawking entropy, and the entropy of a boundary subregion continues to obey the Ryu-Takayanagi prescription, namely, the area of a minimal surface divided by $4G_N$.
We carry out explicit calculations for global AdS, rotating and non-rotating BTZ geometries. For an interval in AdS$_3$ we find that the $K$-dependent holographic entanglement entropy is governed by $c_m=\frac{3 \ell}{2 G_N}.$ For a thermal state at high conformal temperatures we find that, the entropy is governed by $c_{\rm eff}=\frac{3 \ell}{2 G_N} \frac{K \ell- \sqrt{K^2 \ell^2-4}}{2}$, the same effective central charge that governs the Cardy-like density of states, in agreement with previous results in the literature.
Finally, we also compute the entanglement entropy directly from the conjectured dual boundary theory - a holographic CFT coupled with time-like Liouville theory and deformed by a marginal $T \bar{T}$ like operator - and find $S_{EE} =\frac{c_{\rm eff}}{3} \ln\!\left(\frac{2 R \sin\phi_0}{\epsilon}\right) .$ This result for the state with no operator insertions (vacuum state ), provides an independent boundary realization of $c_{\mathrm{eff}}$ while clarifying that this state is not the state dual to global AdS.
toXiv_bot_toot
I'm documenting common file "ID"s and their semantics for the Intel ME Gen 2 file system.
It's pretty interesting how much can be discovered there.
One thing I see every now and then is some 256 bits hash or signature, and I'd like to know what it really is. But since it's just high entropy values, it's quite impossible to guess.
from my link log —
CPU jitter entropy random number generator.
https://www.chronox.de/jent/
saved 2026-08-11 https://dotat.at/:/IKXS5.html
Crosslisted article(s) found for math.ST. https://arxiv.org/list/math.ST/new
[1/1]:
- Graph Causal Optimal Transport and Wasserstein Distances
Jan Ob{\l}\'oj, Vlad Tuchilus
https://arxiv.org/abs/2608.13716 https://mastoxiv.page/@arXiv_mathPR_bot/117109746090804032
- Detection of Structural Distortions in Functional Time Series
Debanjana Datta, Rituparna Sen, Nalini Ravishanker
https://arxiv.org/abs/2608.13762 https://mastoxiv.page/@arXiv_statME_bot/117109778563001128
- A Structural Characterization of Entropy Functionals
Daniel Lazarev
https://arxiv.org/abs/2608.13917 https://mastoxiv.page/@arXiv_csIT_bot/117109760641851678
- Change Point Detection and Localization in High-Dimensional Time Series
Patrick Bastian, Daria Tieplova, Nina D\"ornemann, Tim Kutta
https://arxiv.org/abs/2608.14344 https://mastoxiv.page/@arXiv_statME_bot/117109842628849962
- A distance-based theory of lottery complexity
Giulio Principi
https://arxiv.org/abs/2608.14464 https://mastoxiv.page/@arXiv_econTH_bot/117109786200544079
- Handover of In-Context Learning State Across Session Boundaries
Masahiro Kato, Taka Kato
https://arxiv.org/abs/2608.14528 https://mastoxiv.page/@arXiv_csAI_bot/117109896699069976
toXiv_bot_toot
Yeah, good luck with that for Safari users...
These are the top and bottom parts of 2 loads of that page a few seconds apart. Not private windows, no browser restart or other trickery. It can’t even settle on a CPU or screen size in the same load. It is apparently using 2 different sources for CPU type and for screen dimensions. I have not told Safari to claim that it is on Intel, that appears to be an Apple choice.
Information-Theoretic Black Hole Entropy I: Beyond the Area Law
Alex Kehagias
https://arxiv.org/abs/2608.05795 https://arxiv.org/pdf/2608.05795 https://arxiv.org/html/2608.05795
arXiv:2608.05795v1 Announce Type: new
Abstract: Although the Bekenstein-Hawking area law is consistent with the first and second laws of black hole thermodynamics, it appears to be in conflict with the third law, which in the Nernst formulation states that the entropy should either vanish or approach a universal constant in the zero-temperature limit. We argue that this tension reflects a limitation of the semiclassical area law rather than a fundamental feature of black hole thermodynamics. On this basis, we obtain an entropy formula that is consistent with the third law, and approaches Bekenstein-Hawking entropy in the high-temperature limit. The resulting entropy admits a simple microscopic interpretation, and it can be written as the Kullback-Leibler divergence between a mass-biased Bernoulli distribution and the uniform distribution on N microscopic bits. From this perspective, the thermodynamic black hole entropy admits an information-theoretic representation as an entropy deficit, namely as the relative entropy between the black hole ensemble and a maximally mixed reference ensemble. The Bekenstein-Hawking area law then emerges as the leading term in an $1/N$ expansion, while a universal mass scale $M_0=\sqrt{N}\,M_P$, interpreted as an absolute upper bound on the black hole mass, controls the bias of the underlying microscopic ensemble. The subleading terms represent finite-information corrections to the classical area law.
toXiv_bot_toot
@… Schopenhauer's Law of Entropy at work!
In 1949, Claude Shannon was characterizing information loss, and needed a term for the degree to which information is scrambled. Visiting mathematical physicist John von Neumann, he received the following advice: "You should call it entropy... nobody knows what entropy really is, so in a debate you will always have the advantage."
Information--Theoretic Black Hole Entropy II: Infrared Gravity and Charged/Rotating Extensions
Alex Kehagias
https://arxiv.org/abs/2608.05801 https://arxiv.org/pdf/2608.05801 https://arxiv.org/html/2608.05801
arXiv:2608.05801v1 Announce Type: new
Abstract: We investigate gravitational and Kerr-Newman extensions of an information-theoretic black-hole entropy that satisfies the Nernst formulation of the third law of thermodynamics. The entropy is identified with the Kullback-Leibler divergence between a mass-dependent Bernoulli ensemble and an unbiased reference ensemble, and therefore measures relative information rather than the logarithm of the number of black-hole microstates. We show perturbatively that its temperature and entropy can be reproduced by an infrared deformation of General Relativity. To linear order in the deformation couplings, the surface-gravity temperature and the Wald entropy agree with the information-theoretic results. In an explicit realization, the matching generates a positive effective cosmological term whose smallness is related to the large microscopic parameter $N$. We also propose an extension to Kerr-Newman black holes based on the irreducible mass. This construction preserves the connection with the horizon area and the semiclassical limit, while distinguishing geometrical extremality from the universal statistical-freezing endpoint, which is independent of angular momentum and charge.
toXiv_bot_toot
It looks like I have successfully extracted a large file from the Intel ME Gen 2 file system.
I suspect that it is encrypted; the entropy is very high (looks like random junk).
the majestic & dreamy & elemental heart trio is going on a rare tour next month. parker, drake, & cooper-moore have a really special connection, plugging into something like the don cherry/organic music society continuum. #jazz
Replaced article(s) found for math.DS. https://arxiv.org/list/math.DS/new
[1/2]:
- The structure of totally disconnected Host--Kra--Ziegler factors, and the inverse theorem for the...
Asgar Jamneshan, Or Shalom, Terence Tao
https://arxiv.org/abs/2303.04860 https://mastoxiv.page/@arXiv_mathDS_bot/109997807513962212
- Polynomial entropy of induced homeomorphisms on $C_k(\mathbb{S}^1)$ and $C_k([0,1])$
Ma\v{s}a {\DJ}ori\'c, Jelena Kati\'c
https://arxiv.org/abs/2509.06037 https://mastoxiv.page/@arXiv_mathDS_bot/115173666484478030
- On the geometric quantization of $\theta$-almost twisted Poisson manifold
Nasser Saipele Nansidi, Bertuel Tangue Ndawa, Joseph Dongho
https://arxiv.org/abs/2509.21168 https://mastoxiv.page/@arXiv_mathDS_bot/115269630154890083
- On the generating series of the degree sequence
Quang-Khai Nguyen
https://arxiv.org/abs/2510.06142 https://mastoxiv.page/@arXiv_mathDS_bot/115337828753858865
- Resolvent-Based Singular-Value Diagnostics for Data-Driven Koopman Finite Sections
Yuanchao Xu, Itsushi Sakata, Isao Ishikawa
https://arxiv.org/abs/2512.24953 https://mastoxiv.page/@arXiv_mathDS_bot/115819316279700435
- Refracting Filippov systems: sliding dynamics without sliding regions
D. J. W. Simpson
https://arxiv.org/abs/2603.10333 https://mastoxiv.page/@arXiv_mathDS_bot/116215253094993668
- Complete realization of multifractal entropy spectra and pressure functions
Xiaobo Hou, Wanshan Lin, Xueting Tian
https://arxiv.org/abs/2605.20617 https://mastoxiv.page/@arXiv_mathDS_bot/116611418906721246
- Structural Causal Discovery and Predictive Sufficiency in High-Dimensional Dynamical Systems
Abd AlRahman R. AlMomani, Curtis N. James, Christopher C. Hennon, Ronny Schroeder
https://arxiv.org/abs/2606.00710 https://mastoxiv.page/@arXiv_mathDS_bot/116679365046680815
- Shadowing in Dynamical Systems: Zero-dimensional Extensions and Inverse Limits
Dekui Peng
https://arxiv.org/abs/2606.14435 https://mastoxiv.page/@arXiv_mathDS_bot/116752985726507271
- One residual set of Cantor graphs with dense conjugacy classes
Zhengyu Yin
https://arxiv.org/abs/2607.21018 https://mastoxiv.page/@arXiv_mathDS_bot/116973856140760258
- Hausdorff dimension of non-uniquely ergodic directions in eigenform loci
Yuming Wei, Pengyu Yang
https://arxiv.org/abs/2607.24181 https://mastoxiv.page/@arXiv_mathDS_bot/116996562370083221
- Sharp Cyclicity of Neutral Entry--Exit Cycles with Quadratic Grazing
Haibo Lu
https://arxiv.org/abs/2607.27464 https://mastoxiv.page/@arXiv_mathDS_bot/117013446092691734
toXiv_bot_toot
HenTwin: A Multimodal Digital Twin Framework for Longitudinal Biological State Monitoring in Laying Hens
Yashan Dhaliwal, Shreya Rao, Suresh Neethirajan
https://arxiv.org/abs/2607.28652 https://arxiv.org/pdf/2607.28652 https://arxiv.org/html/2607.28652
arXiv:2607.28652v1 Announce Type: new
Abstract: Early-life monitoring in laying hens remains constrained by fragmented single-modality sensing and the absence of formal system-level state representations. HenTwin, a multimodal digital twin framework implemented as a five-layer IoT architecture, formalizes flock-level multimodal biological state dynamics from hatch through 25 weeks of age. A four-dimensional biological state vector integrating body surface temperature, acoustic energy entropy, band energy ratio, and optical-flow-based motion is defined, with the temperature-humidity index treated as an exogenous environmental input to preserve intervention capability. A discrete-time state transition model is estimated from 25 weeks of longitudinal multimodal data collected from 150 Lohmann LSL-Lite hens across five controlled rooms at the Atlantic Poultry Research Centre, Dalhousie University. The estimated transition matrix exhibits modality-specific persistence while remaining asymptotically stable. Perturbation analysis demonstrates that a sustained 2.0 THI increase produces a stable long-run acoustic entropy elevation of 0.54 nats, approximately one-quarter of the entire 1.87-nat developmental decline observed across the study period. Pettitt change-point detection identifies coordinated multimodal developmental state transitions at Weeks 12-14. Cross-room validation suggests that structural transition parameters are partially transferable across rooms, whereas environmental input sensitivity requires room-specific calibration, supporting a two-tier IoT deployment architecture. Leave-one-out cross-validation demonstrates consistent out-of-sample model performance. HenTwin takes a first step toward formal, state-aware digital twin inference in precision livestock farming.
toXiv_bot_toot
Detecting unusual trading patterns on cryptocurrency exchanges by means of complexity measures
Jakub Zwydak, Marcin W\k{a}torek, Jaros{\l}aw Kwapie\'n, Stanis{\l}aw Dro\.zd\.z
https://arxiv.org/abs/2607.13916 https://arxiv.org/pdf/2607.13916 https://arxiv.org/html/2607.13916
arXiv:2607.13916v1 Announce Type: new
Abstract: Artificial transaction generation remains an important source of potential market manipulation on cryptocurrency exchanges, as it may distort reported liquidity and reduce market transparency. This study proposes a diagnostic framework for detecting unusual trading patterns based on complexity and statistical-structure measures derived from high-frequency trade-level data. The analysis considers log-returns, trading volume, and transaction counts, using tail distributions, autocorrelation functions, multifractal characteristics, approximate entropy, and detrended cross-correlations. The methodology is applied to BTC, ETH, and XRP traded on Binance, Bitget, KuCoin, and Kraken over the period from April 1 to June 30, 2025. The results reveal a pronounced anomaly on Bitget for BTC and ETH after mid-May 2025. The number of transactions increases sharply, but there is no proportional increase in traded volume or return fluctuations. This regime is characterised by numerous low-volume trades, weaker autocorrelations, reduced multifractal organisation, higher short-pattern irregularity, and weaker cross-correlations involving the transaction-count series. These features are consistent with a noise-like component in trading activity and may indicate artificially increased transaction counts, although they do not provide direct proof of wash trading. The findings show that complexity-based indicators can be useful for detecting exchange-specific trading anomalies that remain hidden in price-based measures.
toXiv_bot_toot
Today I used an enterprise site that disallowed “fuck” in the password. Not “shit” though. Not sure reducing entropy is the right play here guys
Specificity- and Calibration-Aware Breast Ultrasound Segmentation via Entropy-Guided Boundary Supervision
Manar Alsaid, Mandip Shrestha, Mohammad Abbas
https://arxiv.org/abs/2606.22308
Replaced article(s) found for nlin.CD. https://arxiv.org/list/nlin.CD/new
[1/1]:
- Entropy and $\omega$-limit sets on invariant graphs for a class of planar piecewise linear maps
Anna Cima, Armengol Gasull, V\'ictor Ma\~nosa, Francesc Ma\~nosas
https://arxiv.org/abs/2503.02411 https://mastoxiv.page/@arXiv_mathDS_bot/114108695476652580
toXiv_bot_toot
Hard Guarantees at a Measured Price: Entropy-Stable Learned Finite Volumes for Compressible Flow
Denis Gueyffier (ONERA -- Institut Polytechnique de Paris)
https://arxiv.org/abs/2607.20171 https://arxiv.org/pdf/2607.20171 https://arxiv.org/html/2607.20171
arXiv:2607.20171v1 Announce Type: new
Abstract: Learned solvers for compressible flow are usually compared to classical methods at equal mesh resolution rather than at equal computational cost, and they typically offer no guarantee that their solutions remain physically admissible. We present a learned finite volume scheme for the two-dimensional Euler equations on unstructured meshes, admissible by construction and with an entropy-stable interior flux. We evaluate it under protocols fixed before any computation: frozen thresholds, falsification clauses, negative controls, a factor decomposition of the learned components, and an iso-cost comparison against the refined classical baseline. The decomposition produced the central result: the guarantee machinery alone, with both learned heads switched off (the unlearned skeleton), is the strongest scheme at equal mesh on every periodic case. At equal wall-clock cost the picture inverts into a map. Learning pays robustly only on the wall case whose boundary-condition type it never saw (10.8%). Its periodic gains flip sign with the evaluation draw ( 10% on one held-out case, -12% on the hardest). The skeleton is the only method whose iso-cost gain never changes sign, at a measured overhead of 1.74x per step. The guaranteed variant completes 36 of 36 rollouts, Mach extrapolation and unseen wall included, with zero negativity events. We fix the guaranteed scheme's one remaining out-of-distribution weakness, Mach extrapolation, at inference time: with scale-invariant network inputs, a specific-entropy floor, and no retraining, the corrected arm overtakes the unconstrained arm on one Mach case, cuts its deficit on the other by a third, passes the skeleton on the unseen wall, and keeps the guarantee. A spatial gate closes the loop: activating the heads only near the walls beats both the skeleton and the corrected arm, and transfers unchanged to a second wall geometry.
toXiv_bot_toot
Replaced article(s) found for math.KT. https://arxiv.org/list/math.KT/new
[1/1]:
- On higher Du Bois singularities and $K$-regularity
Wanchun Shen
https://arxiv.org/abs/2504.12402 https://mastoxiv.page/@arXiv_mathAG_bot/114357763878794264
- Higher Koszul duality and $n$-affineness
James Pascaleff, Emanuele Pavia, Nicol\`o Sibilla
https://arxiv.org/abs/2504.16935 https://mastoxiv.page/@arXiv_mathAG_bot/114397398626428739
- Growth in noncommutative algebras and entropy in derived categories
Dmitri Piontkovski
https://arxiv.org/abs/2604.13373 https://mastoxiv.page/@arXiv_mathRA_bot/116413312400294881
toXiv_bot_toot
Holographic entanglement entropy with conformal boundary conditions
Elena C\'aceres, Hare Krishna, Harita Palani Balaji, Vaishnavi Patil
https://arxiv.org/abs/2608.06277 htt…
Komuro Expansivity and Periodic Orbit Growth for Multi-Singular Hyperbolic Flows
Maria Jos\'e Pacifico, Fan Yang, Jiagang Yang, Rusong Zheng
https://arxiv.org/abs/2608.02186 https://arxiv.org/pdf/2608.02186 https://arxiv.org/html/2608.02186
arXiv:2608.02186v1 Announce Type: new
Abstract: In this paper we prove that every multi-singular hyperbolic set of a $C^1$ flow is Komuro expansive. This is the strongest natural form of expansivity for flows with singularities accumulated by regular orbits, allowing arbitrary orientation-preserving time reparametrizations. We then use this to establish a two-sided asymptotic counting bound of the form $e^{ht}/t$ for periodic orbits, and prove that the normalized orbit measures converge to the unique measure of maximal entropy. We also establish the same results for a $C^1$ open and dense subset of star vector fields.
toXiv_bot_toot
Metric entropy of the space of holomorphic functions
Siarhei Finski
https://arxiv.org/abs/2607.18890 https://arxiv.org/pdf/2607.18890 https://arxiv.org/html/2607.18890
arXiv:2607.18890v1 Announce Type: new
Abstract: By Montel's theorem, the continuous functions on a compact subset of a complex manifold that admit uniformly bounded holomorphic extensions to the manifold form a compact set in the uniform topology. We render this compactness quantitative by determining the asymptotics of the associated metric entropy, thereby giving a new solution to a problem of Kolmogorov for domains in $\mathbb{C}^n$ and extending the solution to domains in arbitrary Stein manifolds.
toXiv_bot_toot
Information-Theoretic Black Hole Entropy I: Beyond the Area Law
Alex Kehagias
https://arxiv.org/abs/2608.05795 https://arxiv.org/pdf/2608.05795
Information--Theoretic Black Hole Entropy II: Infrared Gravity and Charged/Rotating Extensions
Alex Kehagias
https://arxiv.org/abs/2608.05801 https://arxiv…
Crosslisted article(s) found for hep-th. https://arxiv.org/list/hep-th/new
[1/2]:
- Living on the Edge of Effective Field Theory: Near-Extremal Black Holes in Quadratic Gravity
Kelvin Ka-Ho Lam, Gary T. Horowitz, Nicol\'as Yunes
https://arxiv.org/abs/2608.05268 https://mastoxiv.page/@arXiv_grqc_bot/117053119278147418
- Relative entropy of entanglement of Haar random states
Takato Mori, Beni Yoshida
https://arxiv.org/abs/2608.05274 https://mastoxiv.page/@arXiv_quantph_bot/117053252355717367
- Theory of Measurement-Altered Criticality
Kabir Khanna, Sara Murciano, Romain Vasseur
https://arxiv.org/abs/2608.05289 https://mastoxiv.page/@arXiv_condmatstatmech_bot/117053093687616139
- Self-dual $S_3$ gauge theory in 2 1d: lattice model and topological phase transitions
Da-Chuan Lu, Chong Wang, Ashvin Vishwanath
https://arxiv.org/abs/2608.05294 https://mastoxiv.page/@arXiv_condmatstrel_bot/117053135203168433
- 3-form dark energy and cosmic birefringence
Kohei Kamada, Tucker Manton
https://arxiv.org/abs/2608.05296 https://mastoxiv.page/@arXiv_astrophCO_bot/117053109615577309
- GOOFy-compatible 3HDMs and beyond
I. de Medeiros Varzielas, A. Kun\v{c}inas
https://arxiv.org/abs/2608.05304 https://mastoxiv.page/@arXiv_hepph_bot/117053194550154760
- Beyond Borel Windows: A Systematic Optimization Framework for QCD Sum Rules
Raphael M. Albuquerque
https://arxiv.org/abs/2608.05322 https://mastoxiv.page/@arXiv_hepph_bot/117053194943710217
- Quantum information loss
James Fullwood, Wu-zhong Guo, Boyu Yang
https://arxiv.org/abs/2608.05535 https://mastoxiv.page/@arXiv_quantph_bot/117053277916138502
- Coherent and Stochastic Axion Dark Matter from Thermal Relaxation
Gurmani, Cilli, Channuie, Abdujabbarov, Atamurotov, G\"udekli
https://arxiv.org/abs/2608.05538 https://mastoxiv.page/@arXiv_hepph_bot/117053223846614186
- Asymmetric Quantum Oppenheimer-Snyder Collapse
Micha{\l} Bobula, Tomasz Paw{\l}owski
https://arxiv.org/abs/2608.05818 https://mastoxiv.page/@arXiv_grqc_bot/117053193567517392
- Triviality in a Non-Perturbative Second-Order Mean-Field Theory for $\phi^4_4$
Majdouline Borji
https://arxiv.org/abs/2608.05998 https://mastoxiv.page/@arXiv_mathph_bot/117053148149785707
- Measurement-induced entanglement Hamiltonian
Viktor Eisler, Erik Tonni
https://arxiv.org/abs/2608.06006 https://mastoxiv.page/@arXiv_condmatstatmech_bot/117053217162278663
- An Effective String Theory Toolbox for Quantum Hall Interfaces I: Worldsheet Kinematics and Const...
Ken K. W. Ma
https://arxiv.org/abs/2608.06097 https://mastoxiv.page/@arXiv_condmatmeshall_bot/117053183146860935
toXiv_bot_toot
The Quantum Mechanics of Rare Events: From Quantum Walks to Stochastic Inflation
Daniel Green, Kshitij Gupta, Akhil Premkumar
https://arxiv.org/abs/2608.06319 https://arxiv.org/pdf/2608.06319 https://arxiv.org/html/2608.06319
arXiv:2608.06319v1 Announce Type: new
Abstract: Rare fluctuations in physical systems depend on the detailed microphysics responsible for the fluctuations. In classical statistical systems, the large deviation principle has elucidated the role of semi-classics in describing this regime, and has simultaneously provided a the mathematical foundation of statistical mechanics. Large deviation theory for quantum system is considerably less developed. As all physical systems are fundamentally quantum mechanical, this leaves a major gap in our understanding of rare fluctuations relevant to statistical physics, cosmology, and more. In this paper, we develop the practical aspects of the theory of large deviations relevant for calculating rare events in physical systems from quantum walks to cosmology. We first analyze the case of the anharmonic oscillator coupled to a bath, showing explicitly how the system evolves from dominantly statistical (e.g. thermal) to quantum fluctuations. We then generalize these results, showing that the dominant rare fluctuations minimize the measurement-induced relative entropy. This perspective provides a thermodynamic description of a wide range of open quantum systems. We apply these results to random walks that arise in cosmology through stochastic inflation. We show that the evolution of the density matrix of long wavelength fields on a fixed de Sitter background breaks the KMS symmetry, giving rise to a stationary density matrix that does not respect detailed balance.
toXiv_bot_toot
Exploring Brain Networks Using Noninvasive Electrophysiological Measurements: Methods and Applications
Richard Leahy, Takfarinas Medani
https://arxiv.org/abs/2607.17602 https://arxiv.org/pdf/2607.17602 https://arxiv.org/html/2607.17602
arXiv:2607.17602v1 Announce Type: new
Abstract: Electroencephalography (EEG) and magnetoencephalography (MEG) provide noninvasive measurements of brain activity with millisecond temporal resolution, enabling the investigation of functional and effective interactions within large-scale brain networks. This chapter presents a comprehensive overview of the methodological foundations and practical workflows for EEG/MEG-based brain network analysis. We first review the physical principles underlying EEG and MEG, emphasizing their complementary strengths and limitations. We then describe the forward and inverse problems, including subject-specific head modeling, source reconstruction techniques, and the importance of accurate anatomical modeling for reliable source localization. Strategies for mitigating volume conduction and signal leakage are discussed, together with best practices for source-space connectivity analysis. The chapter reviews widely used functional and effective connectivity measures, including coherence, phase synchronization metrics, amplitude envelope correlation, Granger causality, dynamic causal modeling, and transfer entropy, highlighting their assumptions, advantages, and limitations. Modern end-to-end analysis pipelines are presented, with particular emphasis on Brainstorm and complementary open-source software for reproducible EEG/MEG research. Finally, we discuss emerging approaches, including time-varying connectivity, cross-frequency interactions, and network-based analyses, illustrating how noninvasive electrophysiology contributes to understanding brain organization in health and disease. The chapter provides both conceptual foundations and practical guidance for researchers and advanced students seeking to map and interpret human brain networks using EEG and MEG.
toXiv_bot_toot
Replaced article(s) found for q-fin.TR. https://arxiv.org/list/q-fin.TR/new
[1/1]:
- Asymptotic and finite-sample distributions of one- and two-sample empirical relative entropy
Matthieu Garcin, Louis Perot
https://arxiv.org/abs/2512.16411 https://mastoxiv.page/@arXiv_statME_bot/115745600813668734
toXiv_bot_toot
Bayesian finite element regression for vascular flow reconstruction with quantified uncertainty
Cem Gormezano, Shawn Shadden
https://arxiv.org/abs/2607.20224 https://arxiv.org/pdf/2607.20224 https://arxiv.org/html/2607.20224
arXiv:2607.20224v1 Announce Type: new
Abstract: Reconstructing accurate velocity and pressure fields from under-resolved noisy measurements of blood flow is an ill-posed inverse problem due to unknown inlet and outlet boundary conditions. We present a Bayesian finite element regression framework that reconstructs steady three-dimensional velocity and pressure fields, with quantified uncertainty, from noisy velocity observations without offline training data. We represent velocity and pressure fields in Taylor-Hood finite element basis functions, and construct physics-informed priors on the nodal degrees of freedom from maximum-entropy principles. Combined with a likelihood specified by a noise-model, this yields a posterior whose maximum-a-posteriori estimate (MAP) gives velocity and pressure reconstructions. The MAP estimate is computed by solving a large-scale sparse nonlinear least-squares problem where pressure is eliminated analytically, no-slip walls are enforced exactly, and gradient is computed without forward/adjoint solves or automatic differentiation. A Laplace approximation of the posterior quantifies the uncertainties in our reconstructions and propagates them to clinically relevant quantities of interest including, pressure drop, flow rates, and wall shear stress. On patient-specific cerebral aneurysm, aortic aneurysm, and aortic coarctation geometries, the method reconstructs velocity and pressure more accurately than tricubic interpolation and comparably to a PINN, while recovering region-of-interest wall shear stress more accurately than both.
toXiv_bot_toot
Replaced article(s) found for hep-th. https://arxiv.org/list/hep-th/new
[2/3]:
- Multicritical points of gravitational solitons and a black hole in four dimensions
Moaathe Belhaj Ahmed, Mois\'es Bravo-Gaete, Robert B. Mann, Constanza Quijada
https://arxiv.org/abs/2605.24783 https://mastoxiv.page/@arXiv_hepth_bot/116639897763402557
- Brane flows
Georgios Papadopoulos, Kostas Skenderis
https://arxiv.org/abs/2605.31181 https://mastoxiv.page/@arXiv_hepth_bot/116673829986872182
- Weyl conformal geometry vs Riemannian geometry of Weyl gauge invariant (dressed) metric
D. M. Ghilencea, V. -M. Mandric
https://arxiv.org/abs/2606.08080 https://mastoxiv.page/@arXiv_hepth_bot/116719153397467346
- Free-Field Construction of Heterotic String Compactified on Calabi-Yau Orbifolds via Corresponden...
Alexander Belavin, Doron Gepner, Grigory Makarov
https://arxiv.org/abs/2606.27490 https://mastoxiv.page/@arXiv_hepth_bot/116832327091097035
- Exact Planar Black Hole in AdS-Einstein-Scalar Gravity with IR-Emergent Nearly Conformal Fluid
Sangheon Yun
https://arxiv.org/abs/2606.31901 https://mastoxiv.page/@arXiv_hepth_bot/116843780286505261
- AdS Black Holes Are Short-Lived inside the Spectral Form Factor
Jos\'e L. F. Barb\'on, Eduardo Velasco-Aja
https://arxiv.org/abs/2607.21704
- Generalized comodule tube algebras for boundary and domain wall defects of (2 1)D topological order
Zhian Jia, Sheng Tan
https://arxiv.org/abs/2608.05071 https://mastoxiv.page/@arXiv_hepth_bot/117047570919781079
- Surviving correlations across a horizon: reflected entropy for bosonic fields in non-inertial fra...
Sayid Mondal
https://arxiv.org/abs/2608.05473 https://mastoxiv.page/@arXiv_hepth_bot/117053235449252443
- Cluster algebras and tilings for the m=4 amplituhedron
Even-Zohar, Lakrec, Parisi, Tessler, Sherman-Bennett, Williams
https://arxiv.org/abs/2310.17727 https://mastoxiv.page/@arXiv_mathCO_bot/111322217178993182
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Ori Shem-Ur, Khen Cohen, Aviv Orly, Yaron Oz
https://arxiv.org/abs/2401.04013
- Gravity and the Hierarchy Problem
Thede de Boer, Jisuke Kubo, Manfred Lindner, Markus Reinig
https://arxiv.org/abs/2510.12882 https://mastoxiv.page/@arXiv_hepph_bot/115382945122925880
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