Chronological feed of everything captured from Alex Hormozi.
DEM simulations reveal that the characteristic shear rate for the viscous-to-inertial shear thickening transition in dense frictionless non-Brownian suspensions vanishes as the jamming volume fraction φ_m is approached. This criticality arises from a diverging microstructural length scale that governs the transition. A scaling framework using this length collapses rheological data, with system-size dependence confirming the length scale's role in triggering the transition.
A two-fluid model simulates flagellated bacterial locomotion in EVP biofluids like mucus, treating the flagellar bundle as driving the solvent while exchanging momentum with polymers via relative-velocity drag. Finite-difference discretization couples with slender-body theory for flagellar forcing, exploiting linearity in inertialess flows to decompose the flow into kinematic, flagellar, and polymer stress contributions. This enables precomputation of components and efficient transient calculations via a resistivity formulation driven by polymer forces, validated for analyzing microstructure effects on motility.
For 1 < p < q < ∞, Poisson semigroups tied to Ornstein-Uhlenbeck and Laguerre operators lack fixed-time L^p to L^q hypercontractivity for any t > 0. Jacobi operator semigroups with α, β ≥ -1/2 are ultracontractive, bounding L^1 to L^∞ at fixed times. Bernstein subordinations of these semigroups do not preserve fixed-time hypercontractivity, proven via L^q-estimates on orthogonal polynomial eigenfunctions and bilinear exponential family tests.
The paper proves a Gundy-Stein decomposition f = g + h + k for nonnegative L1 martingales with explicit numerical constants depending on λ > 0, where in the positive closed case, the parts satisfy explicit bounds and the bounded part k is at most λ. It introduces a one-parameter bounded part form, two-point sharpness results including joint sharpness under 0 ≤ k ≤ λ, and a four-term refinement separating the bounded term into stopped and conditional expectation components. Applications yield an explicit weak-(1,1) estimate for truncated martingale multipliers and a John-Nirenberg inequality for martingale BMO on atomic α-regular filtrations.
Acquisition.com has undergone a significant leadership restructuring, with Leila Hormozi transitioning to Executive Chairwoman and Shirin Hormozi stepping in as CEO. This strategic shift aims to optimize the company's trajectory towards becoming a "category king" in various markets. The change facilitates specialized focus areas for both leaders, enabling an aggressive pursuit of new ventures, brand development, and integration of AI-first strategies for future growth.
Traditional views of success, often rooted in "no pain, no gain" and a focus on material wealth, can paradoxically lead to apathy and unfulfillment, even for high achievers. True, sustainable happiness and engagement stem from finding "pull motivation" through contribution and impact that is larger than oneself. This shift reframes experiences from duty and suffering to opportunity and joy, promoting continued growth and emotional connection.
Alex Hormozi introduces a comprehensive "money model" system designed to help entrepreneurs scale their businesses by optimizing customer acquisition, monetization, and retention. The system emphasizes maximizing cash flow through strategic offer mechanisms, allowing businesses to outspend competitors and achieve rapid growth without external debt or investors. It integrates playbooks for lead generation, sales, delivery, and profit, supported by an AI-powered advisory tool and a virtual implementation workshop.
Businesses can achieve significant growth by automating operations with AI and incentivizing customer-generated content. This strategy allows for scaling without proportional increases in manual effort, optimizing lead generation and delivery through systematic workflows. It also shifts the focus from traditional marketing to leveraging customer engagement for organic reach and creative development.