the 1 Feb 2026
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A Cluster Expansion and the Decay of Correlations of the 1D Long-Range Ising Model at Low Temperatures
Mathematical Physics [Submitted on 12 Feb 2026 (v1), last revised 29 May 2026 (this version, v2)] Title:A Cluster Expansion and the Decay of Correlations of the 1D Long-Range Ising Model at Low Temperatures View PDF HTML (experimental)Abstract:In this work, a convergent low-temperature cluster expansion of the one-dimensional long-range ferromagnetic Ising model with polynomial decay $\alpha\in (1,2]$ is developed; that is, $J(r)=r^{-\alpha}$. As an application, the $n$-point correlations...
US Consumer Price Index up 4.2%
An official website of the United States government Transmission of material in this release is embargoed until 8:30 a.m. (ET) Wednesday, June 10, 2026 USDL-26-0824 Technical information: (202) 691-7000 * [email protected] * www.bls.gov/cpi Media contact: (202) 691-5902 * [email protected] CONSUMER PRICE INDEX - MAY 2026 The Consumer Price Index for All Urban Consumers (CPI-U) increased 0.5 percent on a seasonally adjusted basis in May, after rising 0.6 percent in April, the U.S. Bureau of...
Alcohol Bulletin
Alcohol Bulletin Quarterly statistics from the alcohol duty regime administered by HM Revenue and Customs. Documents Details The Alcohol Bulletin Accredited Official Statistics present statistics from the Alcohol Duty regime administered by HM Revenue and Customs (HMRC) on 5 different alcohol categories: Beer, Cider, Wine, Other Fermented Products and Spirits. The Alcohol Bulletin is updated quarterly and includes statistics on duty receipts up to the latest full month before its release,...
UK media fails to disclose defence sector links in nearly 60% of cases
Executive summary This report reveals how retired senior British military figures are frequently presented in the UK media as purely independent experts on defence and security matters without mention of their personal commercial and employment interests in the defence, technology, intelligence, and security sectors in those reports. By analysing media reports between 2015 and May 2026, AOAV identified a repeated pattern where almost 60% of former key military personnel with links to the...
Everything that will decide Knicks-Spurs
The 2026 NBA postseason began with 20 teams on April 14, and now we're down to two. The San Antonio Spurs ended the Oklahoma City Thunder's hopes of becoming the first team since the Kevin Durant-led Golden State Warriors of 2017 and 2018 to win back-to-back titles, returning to the Finals for the first time since raising their fifth banner in 2014. In their way are the red-hot New York Knicks, who stormed through the Eastern Conference, winning 11 consecutive games by an average of 23.8...
Bacteria uncover distinct strategy to import rare sugar polymers, crystal structures show
Bacteria uncover distinct strategy to import rare sugar polymers, crystal structures show Sadie Harley Scientific Editor Andrew Zinin Lead Editor Even though sugars are often framed as simple sources of energy, they also serve as structurally complex and functionally diverse molecules that mediate interactions between organisms. Among these, β-1,2-glucans, which are a class of glucose-based polymers, stand out for their varied and sometimes subtle roles. Found across a wide range of...
The storylines and matchups that will define the 2...
All right, NBA fans: Turn on "Star Wars: Episode I -- The Phantom Menace," press play on "Livin' La Vida Loca" and prepare your computer servers for Y2K.
The year in review: Influential people who have died in 2026
The year in review: Influential people who have died in 2026 He was a brash and outspoken media mogul who gave the world the 24-hour news cycle when he launched CNN - Bookmark He was a brash and outspoken media mogul who gave the world the 24-hour news cycle when he launched CNN. Ted Turner, who died in May, built a media empire that also included TNT, the Cartoon Network and Turner Classic Movies. In addition, he was a philanthropist, conservationist and owner of the Atlanta Braves baseball...
From the Octagon to the Oval office: White, Trump and a 25-year friendship
THE 28TH INSTALLMENT of the Ultimate Fighting Championship was a trial run. Though 36 states had banned the UFC, the New Jersey State Athletic Control Board allowed the then-owner, Semaphore Entertainment Group, to host its first sanctioned event on Nov. 17, 2000, at the Taj Mahal in Atlantic City, a hotel and casino owned by real estate mogul Donald Trump. Fighter Randy Couture returned to the UFC for the first time since 1997 and recaptured his heavyweight championship against Kevin...
NMC vacancies delaying medical admissions: Amicus
A Supreme Court-appointed amicus curiae has blamed persistent vacancies at National Medical Commission (NMC) and the government’s failure to fill key statutory posts for recurring delays in medical admissions, approvals, inspections and appeals, saying lapses have disrupted academic calendars and left students bearing the brunt of the system’s shortcomings. In his report to SC, the amicus, senior advocate Maninder Singh, said delays in approvals, inspections, appeals and counselling have...